Visible actions of certain affine transformation groups of a Siegel domain of the second kind

DOI10.1007/978-981-19-4751-3_47OpenAlexW4318445568MaRDI QIDQ6193547

Koichi Arashi

Publication date: 16 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-19-4751-3_47

zbMATH Keywords

Hermitian symmetric spacepolar actionmultiplicity-free representationvisible actioncoisotropic actionSiegel domain

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces
• Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups
• Coisotropic actions on compact homogeneous Kähler manifolds
• Representations of the affine transformation groups acting simply transitively on Siegel domains
• Multiplicity-free complex manifolds
• Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
• Visible actions on symmetric spaces
• Homogeneous bounded domains and Siegel domains
• Multiplicity-free representations and visible actions on complex manifolds
• Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
• On the Automorphisms and Equivalences of Generalized Siegel Domains

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