A Poisson structure on compact symmetric spaces

DOI10.1007/s00220-004-1178-4zbMath1067.53062arXivmath/0208051OpenAlexW2032448772MaRDI QIDQ1766917

Jiang-Hua Lu, Philip A. Foth

Publication date: 2 March 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208051

zbMATH Keywords

flag manifoldsymplectic leafcompact symmetric space

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometry of symmetric spaces (53C35) Simple, semisimple, reductive (super)algebras (17B20)

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Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals, Generalized Kostant convexity theorems, A family of Poisson non-compact symmetric spaces, Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices, Poisson structures on affine spaces and flag varieties. II, On the variety of Lagrangian subalgebras, II

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