A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)

DOI10.2969/jmsj/05930669zbMath1124.22003arXivmath/0607006OpenAlexW3125694615MaRDI QIDQ996125

Publication date: 12 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607006

zbMATH Keywords

homogeneous space semisimple Lie group Cartan decomposition multiplicity-free representation visible action double coset space flag theory

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Momentum maps; symplectic reduction (53D20) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

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