Posted in
Speaker:
Syuchan Kato
Zugehörigkeit:
U. of Tokyo
Datum:
Don, 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).
