Classification of semisimple Hopf algebras of dimension 16

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dc.creatorKashina, Yevgenia
dc.date2000-04-17
dc.date.accessioned2026-07-07T04:34:47Z
dc.date.available2026-07-07T04:34:47Z
dc.descriptionIn this paper we completely classify nontrivial semisimple Hopf algebras of dimension 16. We also compute all the possible structures of the Grothendieck ring of semisimple non-commutative Hopf algebras of dimension 16. Moreover, we prove that non-commutative semisimple Hopf algebras of dimension p^n, p is prime, cannot have a cyclic group of grouplikes.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0004114
dc.identifierhttp://arxiv.org/abs/math/0004114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59041
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30; 57T05
dc.titleClassification of semisimple Hopf algebras of dimension 16
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