Corwin–Greenleaf multiplicity function for compact extensions of the Heisenberg group
DOI10.1142/S0129167X18500568zbMath1396.22003arXiv1807.10863OpenAlexW2951040102MaRDI QIDQ4584429
Majdi Ben Halima, Anis Messaoud
Publication date: 3 September 2018
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10863
Heisenberg motion groupCorwin-Greenleaf multiplicity functiongeneric coadjoint orbitgeneric unitary representation
Differential geometry of homogeneous manifolds (53C30) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of other Lie groups (22E20)
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Cites Work
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- Restrictions of generalized Verma modules to symmetric pairs
- Spectrum and multiplicities for restrictions of unitary representations in nilpotent Lie groups
- Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
- Quantum mechanics and partial differential equations
- The orbit method and Gelfand pairs, associated with nilpotent Lie groups
- A geometric criterion for Gelfand pairs associated with the Heisenberg group
- Multiplicity-free representations and visible actions on complex manifolds
- Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
- Corwin–Greenleaf multiplicity function for compact extensions of ℝn
- CORWIN–GREENLEAF MULTIPLICITY FUNCTIONS FOR HERMITIAN SYMMETRIC SPACES AND MULTIPLICITY-ONE THEOREM IN THE ORBIT METHOD
- Harmonic Analysis in Phase Space. (AM-122)
- The plancherel formula for group extensions
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