On unitarity of spherical representations

DOI10.1215/S0012-7094-90-06108-3zbMath0752.22011OpenAlexW2008601865MaRDI QIDQ1813346

Jesper Bang-Jensen

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06108-3

zbMATH Keywords

semisimple Lie groupsunitary irreducible representationsinvariant Hermitian form\(K\)-typesunitarity of spherical representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (2)

Unnamed Item ⋮ On some conjectures of the unitary dual of \(U(p,q)\)

Cites Work

• Unnamed Item
• The unitary dual for complex classical Lie groups
• The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
• Edge-disjoint in- and out-branchings in tournaments and related path problems
• Intertwining operators for semisimple groups. II
• Reducibility of generalized principal series representations
• Representations of real reductive Lie groups
• Unitarizability of certain series of representations
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces

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