Aizawa, N., Chakrabarti, R., Mohammed, S. S. Naina, Segar, J.
Representations of the quantum superalgebra U_q[osp(1/2)] and their relations to the basic hypergeometric functions are investigated. We first establish Clebsch-Gordan decomposition for the...
Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials (2006)
Aizawa, N., Chakrabarti, R., Mohammed, S. S. Naina, Segar, J.
We obtain a closed form expression of the universal T-matrix encapsulating the duality of the quantum superalgebra U_q[osp(1/2)] and the corresponding supergroup OSp_q(1/2). The classical q-->1 limit...
Generalized boson algebra and its entangled bipartite coherent states (2005)
Aizawa, N., Chakrabaarti, R., Segar, J.
Starting with a given generalized boson algebra U_(h(1)) known as the bosonized version of the quantum super-Hopf U_q[osp(1/2)] algebra, we employ the Hopf duality arguments to provide the dually...
Super-Jordanian Quantum Superalgebra ${\cal U}_{h}(osp(2/1))$ (2003)
Aizawa, N., Chakrabarti, R., Segar, J.
A triangular quantum deformation of $ osp(2/1) $ from the classical $r$-matrix including an odd generator is presented with its full Hopf algebra structure. The deformation maps, twisting element and...
Jordanian quantum spheres (2001)
We introduce and investigate a one parameter family of quantum spaces invariant under the left (right) coactions of the group-like element ${\cal T}_{h}^{(j=1)}$ of the Jordanian function algebra...
Maps and twists relating $U(sl(2))$ and the nonstandard $U_{h}(sl(2))$: unified construction (1998)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R., Segar, J.
A general construction is given for a class of invertible maps between the classical $U(sl(2))$ and the Jordanian $U_{h}(sl(2))$ algebras. Different maps are directly useful in different contexts....
Mukku, C., Sriram, M. S., Segar, J., Bambah, Bindu A., Lakshmibala, S.
We present a comparative study of the dynamical behaviour of topological systems of recent interest, namely the non-Abelian Chern-Simons Higgs system and the Yang-Mills Chern-Simons Higgs system. By...