Séminaire SPACE Tours

Balanced system of cell representations in affine Hecke algebras
Jeremie Guilhot (IDP)
Friday 26 October 2018 10:30 -  Tours -  Salle 1180 (Bât E2)

Résumé :
The aim of this talk is to introduce the notion of a balanced system of cell representations in Hecke algebras and to explain how the existence of such a system can be used to compute Lusztig a-function. We will focus on the affine Hecke algebra of type G2 where it is known that such a system exists and we will show that, in this case, Lusztig conjectures P1-P15 hold for arbitrary parameters

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