IRREDUCIBLE UNITARY REPRESENTATIONS OF SUp,q I: THE DISCRETE SERIES

DOI10.1142/S0129167X01000599zbMath1107.22300MaRDI QIDQ2728524

Elizabeth Tanner, Raj Wilson

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie algebrairreducible unitary representationssquare integrable representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60)

Related Items (1)

Invariant eigendistributions on \(\text{SU}_{p,q}\)

Cites Work

• Irreducible unitary representations of \(\mathrm{SU}(2,2)\)
• Description of unitary representations with highest weight for groups U(p,q)
• Intertwining operators into Dolbeault cohomology representations
• Cayley transforms and orbit structure in complex flag manifolds
• Singular unitary representations and indefinite harmonic theory
• Realization of Hermitian symmetric spaces as generalized half-planes
• Discrete degenerate representations of non-compact unitary groups
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• The Plancherel formula for \(SU(p,q)\)
• Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
• Irreducible unitary representations of the Lorentz group
• Unitary representations of real simple Lie groups
• On Some Properties of Holomorphic Imbeddings of Symmetric Domains
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I

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