Hecke-Clifford algebras and spin Hecke algebras I: the classical affine type

Details Hecke-Clifford algebras and spin Hecke algebras I: the classical affine type Hecke-Clifford algebras and spin Hecke algebras I: the classical affine type

2007-04-02

arxiv.org/abs/0704.0201v3

Transformation Groups, vol. 13 (2008), 389--412.

Mathematics

Representation Theory

v3, proofs of Thms 3.4 and 3.11 modified and other minor changes, to appear in Transformation Groups

Scientific paper

Associated to the classical Weyl groups, we introduce the notion of degenerate spin affine Hecke algebras and affine Hecke-Clifford algebras. For these algebras, we establish the PBW properties, formulate the intertwiners, and describe the centers. We further develop connections of these algebras with the usual degenerate (i.e. graded) affine Hecke algebras of Lusztig by introducing a notion of degenerate covering affine Hecke algebras.

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