Schur-Weyl reciprocity for the q-analogue of the alternating group

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dc.creatorMitsuhashi, Hideo
dc.date2006-01-25
dc.date.accessioned2026-07-07T06:59:17Z
dc.date.available2026-07-07T06:59:17Z
dc.descriptionWe establish Schur-Weyl reciprocity for the q-analogue of the alternating group. We analyze the sign q-permutation representation of the Hecke algebra on the tensor product of the super vector space V in detail, and examine its restriction to the q-analogue of the alternating group. In consequence, we find out that if the dimensions of even part and odd part of V are same, then the centralizer of the q-analogue of the alternating group is a Z_2-crossed product of the centralizer of the Hecke algebra and obtain Schur-Weyl reciprocity between them. Though the structure of the centralizer is more complicated for the general case, we obtained some results about the case.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0601607
dc.identifierhttp://arxiv.org/abs/math/0601607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107690
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleSchur-Weyl reciprocity for the q-analogue of the alternating group
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