The moment map for a multiplicity free action

DOI10.1090/S0273-0979-1994-00514-2zbMath0829.22014arXivmath/9410214OpenAlexW2070437522MaRDI QIDQ4310795

Ronald L. Lipsman, Gail Ratcliff, J. W. Jenkins, Chal Benson

Publication date: 3 November 1994

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

Full work available at URL: https://arxiv.org/abs/math/9410214

zbMATH Keywords

Gelfand pairscompact connected Lie groupmoment mapHeisenberg groupsmultiplicity free actionOrbit method

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Summability methods on groups, semigroups, etc. (43A55)

Related Items

A theorem of the Wiener-Tauberian type for \(L^ 1(H^ n)\) ⋮ A geometric formula for multiplicities of 𝐾-types of tempered representations ⋮ The orbit method and Gelfand pairs, associated with nilpotent Lie groups

Cites Work

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• Some remarks on nilpotent orbits
• Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
• Geometric quantization and multiplicities of group representations
• A geometric criterion for Gelfand pairs associated with the Heisenberg group
• A Harish-Chandra homomorphism for reductive group actions
• On Gelfand Pairs Associated with Solvable Lie Groups
• A canonical approach to multiplicity formulas for induced and restricted representations of nilpotent lie groups
• Orbital Parameters for Induced and Restricted Representations