Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces

DOI10.3792/PJAA.91.70zbMath1333.22011OpenAlexW1998718248MaRDI QIDQ498688

Atsumu Sasaki

Publication date: 29 September 2015

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

Full work available at URL: https://doi.org/10.3792/pjaa.91.70

zbMATH Keywords

Hermitian symmetric spaceadmissible representationvisible action(real) spherical varietymultiplicity free representationtube type domain

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

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A Cartan decomposition for a reductive real spherical homogeneous space ⋮ Visible actions of certain affine transformation groups of a Siegel domain of the second kind ⋮ On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups

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