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Constructible representations and basic sets in type B (2009)

Abstract
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. Then we study bijections between the various basic sets and show that they are controlled by the matrices of the constructible representations.

Publication details
Download HAL:http://hal.archives-ouvertes.fr/hal-00430413/en/, http://hal.archives-ouvertes.fr/docs/00/43/04/13/PDF/Basique10.pdf
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords [MATH:MATH_RT] Mathematics/Representation Theory
Type text
Language English