Semisimplicity of the categories of Yetter-Drinfeld modules and Long dimodules

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dc.creatorCaenepeel, S.
dc.creatorGuédénon, T.
dc.date2002-10-30
dc.date.accessioned2026-07-07T04:52:29Z
dc.date.available2026-07-07T04:52:29Z
dc.descriptionLet $k$ be a field, and $H$ a Hopf algebra with bijective antipode. If $H$ is commutative, noetherian, semisimple and cosemisimple, then the category ${}_{H}{\mathcal {YD}}^H$ of Yetter-Drinfeld modules is semisimple. We also prove a similar statement for the category of Long dimodules, without the assumption that $H$ is commutative.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0210461
dc.identifierhttp://arxiv.org/abs/math/0210461
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65479
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleSemisimplicity of the categories of Yetter-Drinfeld modules and Long dimodules
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