Visible actions on irreducible multiplicity-free spaces

DOI10.3792/pjaa.83.109zbMath1144.32016OpenAlexW2032469652MaRDI QIDQ935586

Atsumu Sasaki

Publication date: 11 August 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1200672010

zbMATH Keywords

totally real submanifoldcomplex manifoldmultiplicity-free representationmultiplicity-free space(strongly) visible action

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Complex Lie groups, group actions on complex spaces (32M05)

Cites Work

• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)
• Some remarks on nilpotent orbits
• 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
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