Algebraic Hamiltonian actions

DOI10.1007/s00209-009-0587-7zbMath1177.14086arXivmath/0601023OpenAlexW1976519161MaRDI QIDQ1031855

Ivan V. Losev

Publication date: 23 October 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601023

zbMATH Keywords

reductive groupmoment mapPoisson variety

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Momentum maps; symplectic reduction (53D20)

Related Items

Symplectic reduction along a submanifold, Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties, Bounded reductive subalgebras of \(\mathfrak{sl}_n\), Spherical actions on isotropic flag varieties and related branching rules, Unnamed Item, Relative log-symplectic structure on a semi-stable degeneration of moduli of Higgs bundles

Cites Work

• Weylgruppe und Momentabbildung. (Weyl group and moment map)
• Reduction of symplectic manifolds with symmetry
• Algebraic geometry of Poisson brackets
• The asymptotic behavior of invariant collective motion
• Equivariant completion
• A connectedness property of algebraic moment maps.
• Convexity properties of the moment mapping. III
• Normalization of a Poisson algebra is Poisson
• Invariant functions on symplectic representations
• Commutative homogeneous spaces and co-isotropic symplectic actions
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