Agenda de l’IDP

Séminaire SPACE Tours

Combinatorial formulae for induced representations of affine Hecke algebras
Eloise Little (University of Sydney)
Friday 02 December 2022 10:30 -  Tours -  E2 1180

Résumé :

In this talk I will construct and give examples of a combinatorial approach to finding the explicit matrix entries of representations of affine Hecke algebras induced from 1-dimensional representations of Levi subalgebras. This combinatorial approach is in terms of "alcove paths" in the associated affine Weyl group. 

I will first introduce affine Weyl groups and affine Hecke algebras, and then explain the construction of the induced representations. Next I will explain the combinatorial formulas, using alcove walks, of the principal series representation matrix entries and the matrix entries of the induced representations. 

This is joint work with Jeremie Guilhot and James Parkinson.



Liens :