Hopf algebra extensions of group algebras and Tambara-Yamagami categories

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dc.creatorNatale, Sonia
dc.date2008-05-20
dc.date2009-05-22
dc.date.accessioned2026-07-07T13:16:57Z
dc.date.available2026-07-07T13:16:57Z
dc.descriptionWe determine the structure of Hopf algebra extensions of a group algebra by the cyclic group of order 2. We study the corepresentation theory of such Hopf algebras, which provide a generalization, at the Hopf algebra level, of the so called Tambara-Yamagami fusion categories. As a byproduct, we show that every semisimple Hopf algebra of dimension $<36$ is necessarily group-theoretical; thus 36 is the smallest possible dimension where a non group-theoretical example occurs.
dc.descriptionMain changes appear in the description in Theorem 1.1, missing case added in proof of Proposition 6.1 and reference added. To appear in Algebr. Represent. Theory
dc.identifierhttps://arxiv.org/abs/0805.3172
dc.identifierhttp://arxiv.org/abs/0805.3172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230958
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleHopf algebra extensions of group algebras and Tambara-Yamagami categories
dc.typetext

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