Abstract
The Kostant multiplicity formula is a recipe for computing the weight multiplicities of an irreducible representation of a compact semi-simple Lie group. We describe here a generalization of Kostant's formula: Suppose τ is a Hamiltonian action of a compact Lie group on a compact symplectic manifold. For an appropriate «quantization», τQ, of τ the weight multiplicaties of τQ are given by a formula similar to Konstant's. There is also an asymptotic version of this formula which gives a recipe for computing the Duistermaat Heckman polynomials associated with τ.
Original language | English (US) |
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Pages (from-to) | 721-750 |
Number of pages | 30 |
Journal | Journal of Geometry and Physics |
Volume | 5 |
Issue number | 4 |
DOIs | |
State | Published - 1988 |
Externally published | Yes |
Keywords
- Duistermaat-Heckman polynomial
- Hamiltonian action
- Partition function
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology