CORWIN–GREENLEAF MULTIPLICITY FUNCTIONS FOR HERMITIAN SYMMETRIC SPACES AND MULTIPLICITY-ONE THEOREM IN THE ORBIT METHOD

DOI10.1142/S0129167X10006021zbMath1193.22013OpenAlexW1969732491MaRDI QIDQ3553708

Salma Nasrin

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1142/s0129167x10006021

zbMATH Keywords

highest weight representationHermitian symmetric spaceorbit methodCorwin-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)

Related Items (7)

Corwin–Greenleaf multiplicity function for compact extensions of ℝⁿ ⋮ Corwin–Greenleaf multiplicity function for compact extensions of the Heisenberg group ⋮ Classical limit of the tensor product of holomorphic discrete series representations ⋮ Kirwan polyhedron of holomorphic coadjoint orbits ⋮ Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs ⋮ A geometric formula for multiplicities of 𝐾-types of tempered representations ⋮ Corwin–Greenleaf multiplicity functions for complex semisimple symmetric spaces

Cites Work

• A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)
• Spectrum and multiplicities for restrictions of unitary representations in nilpotent Lie groups
• Convexity properties of the moment mapping re-examined
• 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
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Multiplicity-free representations and visible actions on complex manifolds
• Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits

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