Derived Functors of Unitary Highest Weight Modules at Reduction Points

DOI10.2307/2001820zbMath0744.22019OpenAlexW4251019295MaRDI QIDQ3982157

Pierluigi Möseneder Frajria

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2001820

zbMATH Keywords

unitary representationsadmissible representationsinfinitesimal characterreal reductive Lie groupHermitian symmetric pairsunitary highest weight modules

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (3)

Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ Transfer of highest weight modules and small unipotent representations ⋮ Derived functor modules, dual pairs and \(\mathcal{U}(\mathfrak{g})^K\)-actions

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• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
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• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• The Analytic Continuation of the Discrete Series.I
• Representations of a Semisimple Lie Group on a Banach Space. I

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