A Generalization of H. Weyl's "Unitary Trick"

DOI10.2307/1997695zbMath0321.17002OpenAlexW4234039228MaRDI QIDQ4083874

James Lepowsky

Publication date: 1976

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1997695

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Structure theory for Lie algebras and superalgebras (17B05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Derived functor modules, dual pairs and \(\mathcal{U}(\mathfrak{g})^K\)-actions ⋮ Rational structures on automorphic representations ⋮ Lie groups ⋮ Generalized Verma modules, the Cartan-Helgason theorem, and the Harish- Chandra homomorphism

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