Premonoidal categories associated with representations of finite groups and their quantum doubles

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dc.creatorWagner, L. D.
dc.creatorLinks, J.
dc.creatorIsaac, P. S.
dc.creatorJoyce, W. P.
dc.creatorDancer, K. A.
dc.date2006-06-28
dc.date.accessioned2026-07-07T07:17:46Z
dc.date.available2026-07-07T07:17:46Z
dc.descriptionWe study the construction of premonoidal categories, where the pentagon relation fails, through representations of finite group algebras and their quantum doubles. Both finite group algebras and their quantum doubles have a finite number of irreducible representations. We show that in each case there are at least $2^{n-1}$ inequivalent premonoidal categories of representations, where $n$ is the number of irreducible representations. By construction, for the case of finite group algebras the categories are symmetric whereas for the quantum doubles the categories are braided.
dc.identifierhttps://arxiv.org/abs/math/0606704
dc.identifierhttp://arxiv.org/abs/math/0606704
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114062
dc.subjectCategory Theory
dc.subjectQuantum Algebra
dc.titlePremonoidal categories associated with representations of finite groups and their quantum doubles
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