Double Bruhat cells and symplectic groupoids

DOI10.1007/s00031-017-9437-6zbMath1416.22013arXiv1607.00527OpenAlexW2964185411MaRDI QIDQ1757167

Xianqiang Yang

Publication date: 2 January 2019

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00527

zbMATH Keywords

semisimple Lie groupLie bialgebrassymplectic groupoidsPoisson Lie groupsdouble Bruhatquasitriangular \(r\)-matrices

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (7)

On the Standard Poisson Structure and a Frobenius Splitting of the Basic Affine Space ⋮ Symplectic groupoids for cluster manifolds ⋮ Poisson groupoids and moduli spaces of flat bundles over surfaces ⋮ Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds ⋮ Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces ⋮ Quantization of a Poisson structure on products of principal affine spaces ⋮ On the \(T\)-leaves of some Poisson structures related to products of flag varieties

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