Module categories, weak Hopf algebras and modular invariants

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dc.creatorOstrik, Viktor
dc.date2001-11-12
dc.date.accessioned2026-07-07T04:44:33Z
dc.date.available2026-07-07T04:44:33Z
dc.descriptionWe develop abstract nonsense for module categories over monoidal categories (this is a straightforward categorification of modules over rings). As applications we show that any semisimple monoidal category with finitely many simple objects is equivalent to the category of representations of a weak Hopf algebra (theorem of T. Hayashi) and classify module categories over the fusion category of $\hat{sl}(2)$ at a positive integer level where we meet once again ADE classification pattern.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0111139
dc.identifierhttp://arxiv.org/abs/math/0111139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62631
dc.subjectQuantum Algebra
dc.subjectCategory Theory
dc.titleModule categories, weak Hopf algebras and modular invariants
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