Classification of 6-dimensional real Manin triples

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dc.creatorHlavaty, L.
dc.creatorSnobl, L.
dc.date2002-02-21
dc.date2002-03-27
dc.date.accessioned2026-07-07T04:46:35Z
dc.date.available2026-07-07T04:46:35Z
dc.descriptionWe present a complete list of 6-dimensional Manin triples or, equivalently, of 3-dimensional Lie bialgebras. We start from the well known classification of 3-dimensional real Lie algebras and assume the canonical bilinear form on the 6-dimensional Drinfeld double. Then we solve the Jacobi identities for the dual algebras. Finally we find mutually non-isomorphic Manin triples. The complete list consists of 78 classes of Manin triples, or 44 Lie bialgebras if one considers dual bialgebras equivalent.
dc.description21 pages, added references and details of computations
dc.identifierhttps://arxiv.org/abs/math/0202209
dc.identifierhttp://arxiv.org/abs/math/0202209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63392
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleClassification of 6-dimensional real Manin triples
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