
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).
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/158