A characterization of non-tube type Hermitian symmetric spaces by visible actions

DOI10.1007/s10711-009-9412-zzbMath1190.32017OpenAlexW2072406146MaRDI QIDQ964197

Atsumu Sasaki

Publication date: 15 April 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9412-z

zbMATH Keywords

Lie groupHermitian symmetric spaceslicevisible action

Mathematics Subject Classification ID

Related Items (13)

A Cartan decomposition for a reductive real spherical homogeneous space ⋮ Visible actions of compact Lie groups on complex spherical varieties ⋮ Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups ⋮ Visible actions on flag varieties of type D and a generalization of the Cartan decomposition ⋮ Visible actions on flag varieties of type C and a generalization of the Cartan decomposition ⋮ Visible actions on flag varieties of exceptional groups and a generalization of the Cartan decomposition ⋮ Classification of visible actions on flag varieties ⋮ Decomposition theorems for triple spaces ⋮ Visible actions on the non-symmetric homogeneous space SO(8, ℂ)/G 2(ℂ) ⋮ On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups ⋮ VISIBLE ACTIONS ON FLAG VARIETIES OF TYPE B AND A GENERALISATION OF THE CARTAN DECOMPOSITION ⋮ Corwin–Greenleaf multiplicity functions for complex semisimple symmetric spaces ⋮ Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles

Cites Work

• Unnamed Item
• A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)
• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups
• Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
• 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
• Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles
• Visible Actions on Irreducible Multiplicity-Free Spaces
• Espaces Homogènes De Stein Des Groupes De Lie Complexes
• Spherical Functions on a Simply Connected Semisimple Lie Group
• Lie groups beyond an introduction

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