Some Twisted Results

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dc.creatorGould, M. D.
dc.creatorLekatsas, T.
dc.date2005-04-09
dc.date.accessioned2026-07-07T10:46:38Z
dc.date.available2026-07-07T10:46:38Z
dc.descriptionThe Drinfeld twist for the opposite quasi-Hopf algebra is determined and is shown to be related to the (second) Drinfeld twist. The twisted Drinfeld twist is investigated. In the quasi-triangular case it is shown that the Drinfeld u operator arises from the equivalence of the opposite quasi-Hopf algebra to the quasi-Hopf algebra induced by twisting with the R-matrix. The Altschuler-Coste u operator arises in a similar way and is shown to be closely related to the Drinfeld u operator. The quasi-cocycle condition is introduced, and is shown to play a central role in the uniqueness of twisted structures on quasi-Hopf algebras. A generalisation of the dynamical quantum Yang-Baxter equation, called the quasi-dynamical quantum Yang-Baxter equation is introduced.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0504184
dc.identifierhttp://arxiv.org/abs/math/0504184
dc.identifierJ.Phys.A38:10123-10144,2005
dc.identifierdoi:10.1088/0305-4470/38/47/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183304
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R50;16W30
dc.titleSome Twisted Results
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