Nonstandard quantum groups associated to Belavin-Drinfeld triples

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dc.creatorHodges, Timothy J.
dc.date1996-09-23
dc.date.accessioned2026-07-07T09:17:16Z
dc.date.available2026-07-07T09:17:16Z
dc.descriptionA construction is given of a family of non-standard quantizations of the algebra of functions on a connected complex semi-simple algebraic group. For each ``disjoint'' triple in the sense of Belavin and Drinfeld, a 2-cocycle is constructed on certain multi-parameter quantum groups. The new non-standard quantum groups are the Hopf algebras obtained by twisting the known quantum groups by these 2-cocycles. In particular, the Cremmer-Gervais quantization of $SL(3)$ can be constructed in this way.
dc.descriptionAMSLatex, 8 pages
dc.identifierhttps://arxiv.org/abs/q-alg/9609029
dc.identifierhttp://arxiv.org/abs/q-alg/9609029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153607
dc.subjectQuantum Algebra
dc.subject17B37
dc.titleNonstandard quantum groups associated to Belavin-Drinfeld triples
dc.typetext

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