Poisson structures on double Lie groups

DOI10.1016/S0393-0440(97)00063-6zbMath1020.17016arXivmath/9801028OpenAlexW2107969789WikidataQ115338804 ScholiaQ115338804MaRDI QIDQ1299245

Janusz Grabowski, Peter W. Michor, Dimitrii V. Alekseevsky, Giuseppe Marmo

Publication date: 6 October 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801028

zbMATH Keywords

Yang-Baxter equation\(R\)-matricesSchouten bracketLie bialgebraPoisson-Lie groupGauss decompositiondouble Lie algebraManin decompositionmetrical Lie algebras

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

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