Constructible representations and basic sets in type B

Nicolas Jacon (1)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

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.

Domaines: Théorie des représentations [math.RT]

Nicolas Jacon. Constructible representations and basic sets in type B. Journal of Algebra, 2011, 336 (1), pp.67-83. ⟨hal-00430413v2⟩