On the Hopf-Schur group of a field

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dc.creatorAljadeff, Eli
dc.creatorCuadra, Juan
dc.creatorGelaki, Shlomo
dc.creatorMeir, Ehud
dc.date2007-08-14
dc.date.accessioned2026-07-07T08:23:38Z
dc.date.available2026-07-07T08:23:38Z
dc.descriptionLet k be any field. We consider the Hopf-Schur group of k, defined as the subgroup of the Brauer group of k consisting of classes that may be represented by homomorphic images of Hopf algebras over k. We show here that twisted group algebras and abelian extensions of k are quotients of cocommutative and commutative Hopf algebras over k, respectively. As a consequence we prove that any tensor product of cyclic algebras over k is a quotient of a Hopf algebra over k, revealing so that the Hopf-Schur group can be much larger than the Schur group of k.
dc.description12 pages, latex file
dc.identifierhttps://arxiv.org/abs/0708.1943
dc.identifierhttp://arxiv.org/abs/0708.1943
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136071
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16W30
dc.titleOn the Hopf-Schur group of a field
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