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

dc.creatorKhongsap, Ta
dc.creatorWang, Weiqiang
dc.date2007-04-02
dc.date2007-10-17
dc.date.accessioned2026-07-07T09:54:37Z
dc.date.available2026-07-07T09:54:37Z
dc.descriptionAssociated 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.
dc.descriptionv3, proofs of Thms 3.4 and 3.11 modified and other minor changes, to appear in Transformation Groups
dc.identifierhttps://arxiv.org/abs/0704.0201
dc.identifierhttp://arxiv.org/abs/0704.0201
dc.identifierTransformation Groups, vol. 13 (2008), 389--412.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166381
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleHecke-Clifford algebras and spin Hecke algebras I: the classical affine type
dc.typetext

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