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A new class of double affine Hecke algebras associated to the spin symmetric groups

SPEAKER: Weiqiang Wang

TITLE: A new class of double affine Hecke algebras associated to the spin symmetric groups.

ABSTRACT We will introduce a new class of rational DaHa, associated to the spin cover of the symmetric groups, in two different versions. We will justify our definitions by describing the connections with the affine Hecke-Clifford algebra, Dunkl operators, etc. (A good reference for rational double affine Hecke algebra (DaHa) is the review paper by Rouquier, math.RT/0504600.)