Poisson structures on complex flag manifolds associated with real forms

DOI10.1090/S0002-9947-05-03789-XzbMath1083.53032arXivmath/0309334MaRDI QIDQ5714403

Jiang-Hua Lu, Philip A. Foth

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309334

zbMATH Keywords

Poisson geometryBruhat cellsBorel groupsemi simple Lie groups

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

A note on Iwasawa-type decomposition ⋮ New realizations of the maximal Satake compactifications of Riemannian symmetric spaces of noncompact type ⋮ The Poisson geometry of SU(1,1)

Cites Work

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• Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\)
• Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat Poisson structure on \(G/B\)
• Lie algebra cohomology and generalized Schubert cells
• L-Groups, Projective Representations, and the Langlands Classification
• On the variety of Lagrangian subalgebras, I
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Lie groups beyond an introduction

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