Invariant eigendistributions on \(\text{SU}_{p,q}\)
DOI10.1016/S0393-0440(01)00045-6zbMath0990.22009OpenAlexW2062482015MaRDI QIDQ1602427
Publication date: 23 June 2002
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00045-6
tempered distributionglobal characterCartan subgroupcontragredient representationinvariant eigendistribution
Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of locally compact groups (22D05) Analysis on other specific Lie groups (43A80)
Cites Work
- Analytic vectors
- Composition series for analytic continuations of holomorphic discrete series representations of \(\text{SU}_{p,q}\)
- Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
- Discrete series for semisimple Lie groups. II: Explicit determination of the characters
- Two theorems on semi-simple Lie groups
- The Plancherel formula for \(SU(p,q)\)
- Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
- IRREDUCIBLE UNITARY REPRESENTATIONS OF SUp,q I: THE DISCRETE SERIES
- IRREDUCIBLE UNITARY REPRESENTATIONS OF SUp,q II: THE CONTINUOUS SERIES
- The Characters of Semisimple Lie Groups
- Invariant Distributions on Lie Algebras
- Invariant Differential Operators and Distributions on a Semisimple Lie Algebra
- Unitary representations of real simple Lie groups
- Invariant Eigendistributions on a Semisimple Lie Group
- Note on Continuous Representations of Lie Groups
- On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
- Representations of a Semisimple Lie Group on a Banach Space. I
- A theorem on unitary representations of semisimple Lie groups
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