Spherical representations and mixed symmetric spaces

DOI10.1090/S1088-4165-97-00035-6zbMath0887.22022OpenAlexW1835320168MaRDI QIDQ4382857

Bernhard Krötz, Karl-Hermann Neeb, Gestur Olafsson

Publication date: 23 March 1998

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-97-00035-6

zbMATH Keywords

orbitspherical representationssymmetric spacehyperbolic cone fieldOl'shanskii type semigroupspherical highest weight modules

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula ⋮ Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum ⋮ Representations, characters, and spherical functions associated to causal symmetric spaces ⋮ The Plancherel theorem for biinvariant Hilbert spaces ⋮ On some classes of multiplicity free representations ⋮ Representation theory and convexity ⋮ Spherical unitary highest weight representations ⋮ Spherical functions on mixed symmetric spaces ⋮ Positive definite spherical functions on Olshanskii domains ⋮ On the complex geometry of invariant domains in complexified symmetric spaces ⋮ Norm estimates for unitarizable highest weight modules

Cites Work

• The holomorphic discrete series for affine symmetric spaces. I
• Lie semigroups and their applications
• Spherical functions on ordered symmetric spaces
• Holomorphic representation theory. II
• Holomorphy and convexity in Lie theory
• Compression semigroups of open orbits in complex manifolds
• Invariant convex sets and functions in Lie algebras
• Polar and Ol'shanskii decompositions.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spherical representations and mixed symmetric spaces