Nilpotent orbits, normality,\\ and Hamiltonian group actions

DOI10.1090/S0273-0979-1992-00271-9zbMath0762.22008arXivmath/9204227MaRDI QIDQ4005813

Bertram Kostant, Ranee Kathryn Brylinski

Publication date: 27 September 1992

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

Full work available at URL: https://arxiv.org/abs/math/9204227

zbMATH Keywords

flag varietiescomplex semisimple Lie groupnilpotent orbitsHamiltonian group actions

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

Magnetic quivers and negatively charged branes ⋮ Nilpotent orbits and the Coulomb branch of \(T^{\sigma}(G)\) theories: special orthogonal vs orthogonal gauge group factors ⋮ QUATERNIONIC KAHLER MANIFOLDS OF COHOMOGENEITY ONE ⋮ Springer fibers for the minimal and the minimal special nilpotent orbits ⋮ Functions on the universal cover of the principal nilpotent orbit ⋮ Geometric quantization of real minimal nilpotent orbits ⋮ Quaternionic geometry of a nilpotent variety

Cites Work

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• Primitive ideals and nilpotent orbits in type \(G_ 2\)
• Automorphismes et déformations des variétés de Borel
• On the geometry of conjugacy classes in classical groups
• Les endomorphismes $k$-finis des modules de Whittaker

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