The Restriction of Admissible Modules to Parabolic Subalgebras

DOI10.2307/1998963zbMath0493.17004OpenAlexW4232621004MaRDI QIDQ3955543

Nolan R. Wallach, J. Toby Stafford

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998963

zbMATH Keywords

semisimple Lie algebraparabolic subalgebrasubrepresentation theoremadmissible modulesArtin-Rees propertyHarish- Chandra module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (11)

Algebras without noetherian filtrations ⋮ The Restriction of Whittaker Modules to Certain Parabolic Subalgebras ⋮ Vanishing theorems for Lie algebra cohomology and the cohomology of discrete subgroups of semisimple Lie groups ⋮ Whittaker vectors and conical vectors ⋮ On supports and associated primes of modules over the enveloping algebras of nilpotent Lie algebras ⋮ On noncommutative Noetherian schemes. ⋮ Going up for enveloping algebras of Lie algebras ⋮ A note on Lie algebra cohomology ⋮ Asymptotic behavior of matrix coefficients of admissible representations ⋮ Jacquet modules of principal series generated by the trivial \(K\)-type ⋮ Whittaker modules associated with highest weight modules

Cites Work

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• The restriction of admissible representations to \(n\)
• On Whittaker vectors and representation theory
• Conical Vectors in Induced Modules
• Localisation in Enveloping Rings
• Algebraic Results on Representations of Semisimple Lie Groups

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