Heckman, Kostant, and Steinberg formulas for symplectic manifolds

DOI10.1016/0001-8708(90)90087-4zbMath0718.58027OpenAlexW1967825602MaRDI QIDQ2639392

Elisa Prato, Victor W. Guillemin

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90087-4

zbMATH Keywords

quantizationmomentum mapHamiltonian action

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Related Items

\([Q,R=0\) and Kostant partition functions], The classification of transversal multiplicity-free group actions, Sums of adjoint orbits, Multiplicities formula for geometric quantization. I, The decomposition formula for Verlinde sums, Volume formula for \(N\)-fold reduced products, The difference between two random mixed quantum states: exact and asymptotic spectral analysis, Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization, Abelianization and the Duistermaat–Heckman theorem, On Riemann-Roch Formulas for Multiplicities, Eigenvalue distributions of reduced density matrices, Character and multiplicity formulas for compact Hamiltonian \(G\)-spaces, Spherical varieties and existence of invariant Kähler structures, Reduction theory and the Lagrange–Routh equations, Two dimensional gauge theories revisited, Duistermaat-Heckman measures in a non-compact setting

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