Algebraic Versions of a Finite-Dimensional Quantum Groupoid

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dc.creatorNikshych, D.
dc.creatorVainerman, L.
dc.date1998-08-12
dc.date1998-11-04
dc.date.accessioned2026-07-07T05:25:42Z
dc.date.available2026-07-07T05:25:42Z
dc.descriptionWe establish the equivalence of three versions of a finite dimensional quantum groupoid: a generalized Kac algebra introduced by T. Yamanouchi, a weak $C^*$-Hopf algebra introduced by G. Bohm, F. Nill and K. Szlachanyi (with an involutive antipode), and a Kac bimodule -- an algebraic version of a Hopf bimodule, the notion introduced by J.-M. Vallin. We also study the structure and construct examples of finite dimensional quantum groupoids.
dc.descriptionLatex, 38 pages, minor errors corrected
dc.identifierhttps://arxiv.org/abs/math/9808054
dc.identifierhttp://arxiv.org/abs/math/9808054
dc.identifierLecture Notes in Pure and Appl. Math, 209 (2000), 189-221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77277
dc.subjectQuantum Algebra
dc.subjectOperator Algebras
dc.subject16W30(Primary); 81R50(Secondary)
dc.titleAlgebraic Versions of a Finite-Dimensional Quantum Groupoid
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