Cyclotomic Birman--Wenzl--Murakami algebras, II: Admissibility Relations and Freeness

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dc.creatorGoodman, Frederick M.
dc.creatorMosley, Holly Hauschild
dc.date2006-12-02
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:41:10Z
dc.date.available2026-07-07T09:41:10Z
dc.descriptionThe cyclotomic Birman-Wenzl-Murakami algebras are quotients of the affine BMW algebras in which the affine generator satisfies a polynomial relation. We study admissibility conditions on the ground ring for these algebras, and show that the algebras defined over an admissible integral ground ring $S$ are free $S$--modules and isomorphic to cyclotomic Kauffman tangle algebras. We also determine the representation theory in the generic semisimple case, obtain a recursive formula for the weights of the Markov trace, and give a sufficient condition for semisimplicity.
dc.descriptionStylistic corrections; changed numbering of sections; changed title
dc.identifierhttps://arxiv.org/abs/math/0612065
dc.identifierhttp://arxiv.org/abs/math/0612065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161734
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject20C08, 81R50, 16G99
dc.titleCyclotomic Birman--Wenzl--Murakami algebras, II: Admissibility Relations and Freeness
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