Constructible representations and basic sets in type B (2009)
We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the matrices of...
Schur elements and basic sets for cyclotomic Hecke algebras (2009)
Chlouveraki, Maria, Jacon, Nicolas
We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex...
Factorization of the Canonical bases for highest weight modules in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We show that the canonical basis associated to any highest weight U_{v}(hat{sl}_{e})-module can be decomposed on the canonical basis of its corresponding U_{v}({sl}_{\infty})-module. We establish...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Kashiwara and Zelevinsky involutions in affine type A (2009)
Jacon, Nicolas, Lecouvey, Cédric
We first describe how the Kashiwara involution on crystals of affine type $A$ is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this involution and the...
Factorization of the Canonical bases for highest weight modules in affine type A. (2009)
Jacon, Nicolas, Lecouvey, Cédric
We show that the canonical basis associated to any highest weight U_{v}(hat{sl}_{e})-module can be decomposed on the canonical basis of its corresponding U_{v}({sl}_{\infty})-module. We establish...
Factorization of the Canonical bases for highest weight modules in affine type A. (2009)
Jacon, Nicolas, Lecouvey, Cédric
We show that the canonical basis associated to any highest weight U_{v}(hat{sl}_{e})-module can be decomposed on the canonical basis of its corresponding U_{v}({sl}_{\infty})-module. We establish...
Schur elements and basic sets for cyclotomic Hecke algebras (2009)
Chlouveraki, Maria, Jacon, Nicolas
We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex...
Schur elements and basic sets for cyclotomic Hecke algebras (2009)
Chlouveraki, Maria, Jacon, Nicolas
We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex...
Constructible representations and basic sets in type B (2009)
We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the matrices of...
Constructible representations and basic sets in type B (2009)
We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the matrices of...
Constructible representations and basic sets in type B (2009)
We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the matrices of...
Constructible representations and basic sets in type B (2009)
We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the matrices of...
The modular branching rule for affine Hecke algebras of type A (2008)
Ariki, Susumu, Jacon, Nicolas, Lecouvey, Cédric
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove...
The modular branching rule for affine Hecke algebras of type A (2008)
Ariki, Susumu, Jacon, Nicolas, Lecouvey, Cédric
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove...
The modular branching rule for affine Hecke algebras of type A (2008)
Ariki, Susumu, Jacon, Nicolas, Lecouvey, Cédric
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
Cellular structures on Hecke algebras of type B (2008)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
Cellular structures on Hecke algebras of type B (2008)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
Dipper-James-Murphy’s conjecture for Hecke algebras of type B (2008)
Abstract. We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of...
The modular branching rule for affine Hecke algebras of type A (2008)
Ariki, Susumu, Jacon, Nicolas, Lecouvey, Cédric
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove...
The modular branching rule for affine Hecke algebras of type A (2008)
Ariki, Susumu, Jacon, Nicolas, Lecouvey, Cédric
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
On the Mullineux involution for Ariki-Koike algebras (2008)
Jacon, Nicolas, Lecouvey, Cédric
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient...
Cellular structures on Hecke algebras of type B (2007)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
Cellular structures on Hecke algebras of type B (2007)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
Cellular structures on Hecke algebras of type B (2007)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
Jacon, Nicolas, Lecouvey, Cédric
We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijections between the...
Jacon, Nicolas, Lecouvey, Cédric
We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijections between the...
Dipper-James-Murphy's conjecture for Hecke algebras of type B (2007)
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two...
Dipper-James-Murphy's conjecture for Hecke algebras of type B (2007)
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two...
Dipper-James-Murphy's conjecture for Hecke algebras of type B (2007)
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two...
Jacon, Nicolas, Lecouvey, Cédric
We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijections between the...
Dipper-James-Murphy's conjecture for Hecke algebras of type B (2007)
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two...
Dipper-James-Murphy's conjecture for Hecke algebras of type B (2007)
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two...
Jacon, Nicolas, Lecouvey, Cédric
We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijections between the...
Cellular structures on Hecke algebras of type B (2007)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
Cellular structures on Hecke algebras of type B (2007)
Bonnafé, Cédric, Jacon, Nicolas
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's...
We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These...
We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These...
Crystal graphs of irreducible $U_v(\hat{sl}_e)$-modules of level two and Uglov bipartitions (2006)
We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These...
Calcul explicite de certaines cellules de Kazhdan-Lusztig pour le type A_{n-1} (2006)
Dans cette note, nous déterminons explicitement les cellules de Kazhdan et Lusztig contenant les éléments de longueur maximale dans les sous-groupes paraboliques du groupe symétrique associés à...
Calcul explicite de certaines cellules de Kazhdan-Lusztig pour le type A_{n-1} (2006)
Dans cette note, nous déterminons explicitement les cellules de Kazhdan et Lusztig contenant les éléments de longueur maximale dans les sous-groupes paraboliques du groupe symétrique associés à...
Canonical basic sets in type B (2006)
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to...
Canonical basic sets in type B (2006)
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to...
Canonical basic sets in type B (2006)
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to...
Canonical basic sets in type B (2006)
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B\_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to...
We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These...
Calcul explicite de certaines cellules de Kazhdan-Lusztig pour le type A_{n-1} (2006)
Dans cette note, nous déterminons explicitement les cellules de Kazhdan et Lusztig contenant les éléments de longueur maximale dans les sous-groupes paraboliques du groupe symétrique associés à...
Canonical basic sets in type B (2006)
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to...
We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These...
Canonical basic sets in type B (2006)
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to...
Calcul explicite de certaines cellules de Kazhdan-Lusztig pour le type A_{n-1} (2006)
Dans cette note, nous déterminons explicitement les cellules de Kazhdan et Lusztig contenant les éléments de longueur maximale dans les sous-groupes paraboliques du groupe symétrique associés à...
Modular representations of cyclotomic Hecke algebras of type G(r, p, n) (2006)
Genet, Gwenaëlle, Jacon, Nicolas
We give a classification of the simple modules for the cyclotomic Hecke algebras over ℂ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike algebras...
We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}_q (\widehat{\mathfrak{sl}}_e)$-modules lead to different labelings of the simple modules for non...
We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}_q (\widehat{\mathfrak{sl}}_e)$-modules lead to different labelings of the simple modules for non...
We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}\_q (\hat{\mathfrak{sl}}\_e)$-modules lead to different labelings of the simple modules for non...
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras. (2005)
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras. (2005)
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras (2005)
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
Canonical basic sets for Hecke algebras (2005)
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of simple modules for...
Canonical basic sets for Hecke algebras (2005)
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of simple modules for...
Canonical basic sets for Hecke algebras (2005)
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of simple modules for...
We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}_q (\widehat{\mathfrak{sl}}_e)$-modules lead to different labelings of the simple modules for non...
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras. (2005)
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
Canonical basic sets for Hecke algebras (2005)
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of simple modules for...
We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}_q (\widehat{\mathfrak{sl}}_e)$-modules lead to different labelings of the simple modules for non...
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras. (2005)
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
Canonical basic sets for Hecke algebras (2005)
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of simple modules for...
Modular representations of cyclotomic Hecke algebras of type G(r,p,n) (2004)
Genet, Gwenaelle, Jacon, Nicolas
We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike...
Modular representations of cyclotomic Hecke algebras of type G(r,p,n) (2004)
Genet, Gwenaelle, Jacon, Nicolas
We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike...
Modular representations of cyclotomic Hecke algebras of type G(r,p,n) (2004)
Genet, Gwenaelle, Jacon, Nicolas
We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike...
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras (2004)
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It generalizes the LLT...
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras (2004)
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It generalizes the LLT...
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras (2004)
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It generalizes the LLT...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit $...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit...
Modular representations of cyclotomic Hecke algebras of type G(r,p,n) (2004)
Genet, Gwenaelle, Jacon, Nicolas
We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike...
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras (2004)
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It generalizes the LLT...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit...
Modular representations of cyclotomic Hecke algebras of type G(r,p,n) (2004)
Genet, Gwenaelle, Jacon, Nicolas
We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike...
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras (2004)
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It generalizes the LLT...
Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-Koike (2004)
Soit $W$ un groupe de Weyl fini et soit $H$ l'algèbre de Hecke correspondante, définie sur l'anneau $A:=Z[v,v^(-1)]$ où $v$ est une indéterminée. Soit $K$ le corps des fractions de $A$ et soit...
On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity (2003)
Following ideas of Geck and Rouquier, we show that there exists a ``canonical basic set'' of Specht modules in bijection with the simple modules of Ariki-Koike algebras at roots of unity. Moreover,...