Corwin–Greenleaf multiplicity functions for complex semisimple symmetric spaces

DOI10.1142/S0129167X15500391zbMath1318.22005OpenAlexW2002309152MaRDI QIDQ5252628

Salma Nasrin

Publication date: 2 June 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15500391

zbMATH Keywords

representationcoadjoint orbitsymmetric spacereductive Lie groupbranching lawsCorwin-Greenleaf multiplicity functionKobayashi multiplicity-free theorem

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Geometry and quantization, symplectic methods (81S10) Lie algebras of Lie groups (22E60) Differential geometry of symmetric spaces (53C35) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

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• A characterization of non-tube type Hermitian symmetric spaces by visible actions
• Spectrum and multiplicities for restrictions of unitary representations in nilpotent Lie groups
• Discrete series for semisimple symmetric spaces
• Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity
• Visible actions on symmetric spaces
• Realization of Hermitian symmetric spaces as generalized half-planes
• Multiplicity-free representations and visible actions on complex manifolds
• CORWIN–GREENLEAF MULTIPLICITY FUNCTIONS FOR HERMITIAN SYMMETRIC SPACES AND MULTIPLICITY-ONE THEOREM IN THE ORBIT METHOD
• Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits

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