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arXiv · 0704.0201

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

Ta Khongsap·Weiqiang Wang
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Abstract

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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BibTeXRIS

Ta Khongsap, Weiqiang Wang. 2007-10-17. Hecke-Clifford algebras and spin Hecke algebras I: the classical affine type. https://arxiv.org/abs/0704.0201

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