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Lie Groups and Representation Theory
Seminar information archive ～09/10｜Next seminar｜Future seminars 09/11～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2012/07/17
17:00-18:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Eric Opdam (Universiteit van Amsterdam)
Dirac induction for graded affine Hecke algebras (ENGLISH)
Eric Opdam (Universiteit van Amsterdam)
Dirac induction for graded affine Hecke algebras (ENGLISH)
[ Abstract ]
In recent joint work with Dan Ciubotaru and Peter Trapa we
constructed a model for the discrete series representations of graded affine Hecke algebras as the index of a Dirac operator.
We discuss the K-theoretic meaning of this result, and the remarkable relation between elliptic character theory of a Weyl group and the ordinary character theory of its Pin cover.
In recent joint work with Dan Ciubotaru and Peter Trapa we
constructed a model for the discrete series representations of graded affine Hecke algebras as the index of a Dirac operator.
We discuss the K-theoretic meaning of this result, and the remarkable relation between elliptic character theory of a Weyl group and the ordinary character theory of its Pin cover.
