Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras

DOI10.1093/imrn/rnw189zbMath1405.53113arXiv1504.06843OpenAlexW2962700573WikidataQ115272904 ScholiaQ115272904MaRDI QIDQ4612047

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Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06843

zbMATH Keywords

Poisson Lie groups

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63) General properties and structure of other Lie groups (22E20)

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The Fock-Rosly Poisson structure as defined by a quasi-triangular \(r\)-matrix ⋮ Poisson groupoids and moduli spaces of flat bundles over surfaces ⋮ Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds ⋮ The semi-direct product of Poisson \(G\)-spaces ⋮ Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces ⋮ Quantization of a Poisson structure on products of principal affine spaces

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