Holomorphic representation theory. I

DOI10.1007/BF01446624zbMath0829.43017OpenAlexW4232967054MaRDI QIDQ1345938

Karl-Hermann Neeb

Publication date: 24 January 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165286

zbMATH Keywords

representationLie groupunitary representationsholomorphic representationconnected Lie groupOl'shanskij semigroup

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Compression semigroups of open orbits in complex manifolds ⋮ A complex semigroup approach to group algebras of infinite dimensional Lie groups ⋮ Square integrable highest weight representations ⋮ Positive definite spherical functions on Olshanskii domains ⋮ On the complex and convex geometry of Ol'shanskii semigroups ⋮ Operator-valued positive definite kernels on tubes

Cites Work

• The metaplectic semigroup and related topics
• A note on Howe's oscillator semigroup
• Semigroups of length increasing transformations
• Complex extension of the representation of the symplectic group associated with the canonical commutation relations
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• Lie semigroups and their applications
• Representations of involutive semigroups
• On closedness and simple connectedness of adjoint and coadjoint orbits
• Holomorphic representation theory. II
• Compactly embedded Cartan algebras and invariant cones in Lie algebras
• Coherent states, holomorphic extensions, and highest weight representations
• Analytic Extension of the Holomorphic Discrete Series
• The Duality Between Subsemigroups of Lie Groups and Monotone Functions
• Harmonic Analysis in Phase Space. (AM-122)
• On the fundamental group of a Lie semigroup
• Entire Vectors and Holomorphic Extension of Representations
• Polar and Ol'shanskii decompositions.
• Contraction semigroups and representations
• Invariant subsemigroups of Lie groups
• Sur la représentation régulière d'un groupe localement compact connexe
• Analytic and Entire Vectors for Representations of Lie Groups
• Theory of Reproducing Kernels
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