Making nontrivially associated modular categories from finite groups

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dc.creatorAl-Shomrani, M. M.
dc.creatorBeggs, E. J.
dc.date2003-03-05
dc.date.accessioned2026-07-07T04:55:47Z
dc.date.available2026-07-07T04:55:47Z
dc.descriptionWe show that the non-trivially associated tensor category constructed from left coset representatives of a subgroup of a finite group is a modular category. Also we give a definition of the character of an object in a ribbon category which is the category of representations of a braided Hopf algebra in the category. The definition is shown to be adjoint invariant and multiplicative. A detailed example is given. Finally we show an equivalence of categories between the non-trivially associated double D and the category of representations of the double of the group D(X).
dc.descriptionApprox 43 pages, uses LaTeX picture environment
dc.identifierhttps://arxiv.org/abs/math/0303058
dc.identifierhttp://arxiv.org/abs/math/0303058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66700
dc.subjectQuantum Algebra
dc.subject18D10
dc.titleMaking nontrivially associated modular categories from finite groups
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