Classification of visible actions on flag varieties
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Publication:444760
DOI10.3792/pjaa.88.91zbMath1250.32021OpenAlexW1969117826MaRDI QIDQ444760
Publication date: 23 August 2012
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.pja/1338900735
semisimple Lie groupsgeneralized flag manifoldsgeneralized Cartan decompositionsmultiplicity-free representationsvisible actionsanti-holomorphic involutions
Factorization of matrices (15A23) Semisimple Lie groups and their representations (22E46) Homogeneous complex manifolds (32M10)
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Cites Work
- A characterization of non-tube type Hermitian symmetric spaces by visible actions
- 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
- On spherical double cones
- Double coset decompositions of reductive Lie groups arising from two involutions
- Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity
- Visible actions on symmetric spaces
- Multiplicity-free representations and visible actions on complex manifolds
- Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles
- Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
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