Classification of 6-dimensional real Drinfeld doubles

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dc.creatorSnobl, L.
dc.creatorHlavaty, L.
dc.date2002-02-21
dc.date2002-03-27
dc.date.accessioned2026-07-07T06:19:38Z
dc.date.available2026-07-07T06:19:38Z
dc.descriptionStarting from the classification of real Manin triples done in a previous paper we look for those that are isomorphic as 6-dimensional Lie algebras with the ad-invariant form used for construction of the Manin triples. We use several invariants of the Lie algebras to distinguish the non-isomorphic structures and give explicit form of maps between Manin triples that are decompositions of isomorphic Drinfeld doubles. The result is a complete list of 6-dimensional real Drinfeld doubles. It consists of 22 classes of non-isomorphic Drinfeld doubles.
dc.description27 pages, corrected minor mistakes and typos, added references
dc.identifierhttps://arxiv.org/abs/math/0202210
dc.identifierhttp://arxiv.org/abs/math/0202210
dc.identifierInt.J.Mod.Phys. A17 (2002) 4043-4068
dc.identifierdoi:10.1142/S0217751X02010571
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95095
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleClassification of 6-dimensional real Drinfeld doubles
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