The Double and Dual of a Quasitriangular Lie Bialgebra

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dc.creatorHodges, Timothy J.
dc.creatorYakimov, Milen
dc.date2000-08-11
dc.date2000-09-07
dc.date.accessioned2026-07-07T04:36:45Z
dc.date.available2026-07-07T04:36:45Z
dc.descriptionLet G be a connected, simply connected Poisson-Lie group with quasitriangular Lie bialgebra g. An explicit description of the double D(g) is given, together with the embeddings of g and g^*. This description is then used to provide a construction of the double D(G). The aim of this work is to describe D(G) in sufficient detail to be able to apply the procedures of Semenov-Tian-Shansky and Drinfeld for the classification of symplectic leaves and Poisson homogeneous spaces for Poisson-Lie groups.
dc.descriptionLaTeX2e, 14 pages. Revised version contains new Section 6
dc.identifierhttps://arxiv.org/abs/math/0008086
dc.identifierhttp://arxiv.org/abs/math/0008086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59714
dc.subjectQuantum Algebra
dc.subject17B62
dc.titleThe Double and Dual of a Quasitriangular Lie Bialgebra
dc.typetext

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