Skip to main content

On standard modules of affine Hecke algebras of classical types

Posted in
Speaker: 
Syuchan Kato
Affiliation: 
U. of Tokyo
Date: 
Thu, 2011-07-07 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Affine Hecke algebras are algebras defined as a deformation of affine Weyl
groups. Though it does not have equivalent representation theory as that of
affine Weyl groups, it inherits many structures from the counter-part of
affine Weyl groups.

In this talk, I will explain how the Specht construction (a classical
famous realization of irreducible representations of symmetric groups) fit
into the representation theory of affine Hecke algebras of classical types,
in a way it gives "standard modules" in some sense. This view point has
several applications to the representation theory and harmonic analysis of
affine Hecke algebras (of classical types).
 

© MPI f. Mathematik, Bonn Impressum
-A A +A