2010-10-01

Weiqiang Wang, University of Virginia

Spin Hecke Algebras

Schur's projective representation theory of the symmetric group is equivalent to the linear representation theory of a spin symmetric group algebra. Associated to the spin symmetric group algebra, we shall explain how to construct a degenerate version of spin Hecke algebras of affine and double affine types. This construction can be quantized, and in another direction, it can be extended to other classical Weyl groups.