Group orbits and regular partitions of Poisson manifolds

DOI10.1007/s00220-008-0536-zzbMath1153.53059arXivmath/0609732OpenAlexW2093834375MaRDI QIDQ958163

Jiang-Hua Lu, Milen T. Yakimov

Publication date: 2 December 2008

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

Full work available at URL: https://arxiv.org/abs/math/0609732

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (14)

Poisson structures on affine spaces and flag varieties. I: Matrix affine Poisson space. ⋮ On the Standard Poisson Structure and a Frobenius Splitting of the Basic Affine Space ⋮ Noncommutative discriminants via Poisson primes ⋮ Towards a cluster structure on trigonometric zastava ⋮ On spherical twisted conjugacy classes. ⋮ Poisson orders on large quantum groups ⋮ On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. ⋮ The semi-direct product of Poisson \(G\)-spaces ⋮ Frobenius splitting and geometry of \(G\)-Schubert varieties ⋮ Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces ⋮ On the \(T\)-leaves of some Poisson structures related to products of flag varieties ⋮ Pseudo-Dirac structures ⋮ On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes ⋮ On the variety of Lagrangian subalgebras, II

Cites Work

• Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
• On classification of dynamical \(r\)-matrices
• Intersections of double cosets in algebraic groups
• Symplectic leaves of complex reductive Poisson-Lie groups
• Partitions of the wonderful group compactification.
• On the variety of Lagrangian subalgebras, II
• Poisson structures on affine spaces and flag varieties. II
• On the variety of Lagrangian subalgebras, I
• Classification of Manin triples for complex reductive Lie algebras. (With an appendix by Guillaume Macey)
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