A method of construction of finite-dimensional triangular semisimple Hopf algebras

dc.creatorEtingof, Pavel
dc.creatorGelaki, Shlomo
dc.date1998-06-12
dc.date.accessioned2026-07-07T05:25:02Z
dc.date.available2026-07-07T05:25:02Z
dc.descriptionThe goal of this paper is to give a new method of constructing finite-dimensional semisimple triangular Hopf algebras, including minimal ones which are non-trivial (i.e. not group algebras). The paper shows that such Hopf algebras are quite abundant. It also discovers an unexpected connection of such Hopf algebras with bijective 1-cocycles on finite groups and set-theoretical solutions of the quantum Yang-Baxter equation defined by Drinfeld.
dc.description9 pages, amstex
dc.identifierhttps://arxiv.org/abs/math/9806072
dc.identifierhttp://arxiv.org/abs/math/9806072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77037
dc.subjectQuantum Algebra
dc.titleA method of construction of finite-dimensional triangular semisimple Hopf algebras
dc.typetext

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