Braided Hopf algebras arising from matched pairs of groups

dc.creatorAndruskiewitsch, Nicolas
dc.creatorNatale, Sonia
dc.date2002-09-17
dc.date2002-11-25
dc.date.accessioned2026-07-07T08:06:03Z
dc.date.available2026-07-07T08:06:03Z
dc.descriptionLet k be a field. Let also (F, G) be a matched pair of groups. We give necessary and sufficient conditions on a pair (σ, τ) of 2-cocycles in order that the crossed product algebra and the crossed coproduct coalgebra k^G{}^τ#_σ kF combine into a braided Hopf algebra. We also discuss diagonal realizations of such braided Hopf algebras in the category of Yetter-Drinfeld modules over a finite group.
dc.description25 pages, to appear in J. of Pure and Applied Algebra, appendix added at the end of the paper by suggestion of the referee
dc.identifierhttps://arxiv.org/abs/math/0209210
dc.identifierhttp://arxiv.org/abs/math/0209210
dc.identifierJ. Pure Appl. Alg. 182, 119--149 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130476
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleBraided Hopf algebras arising from matched pairs of groups
dc.typetext

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