On the Harish-Chandra Homomorphism

DOI10.2307/1997284zbMath0311.17003OpenAlexW4229752723MaRDI QIDQ4068894

James Lepowsky

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997284

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

The Harish-Chandra isomorphism for reductive symmetric superpairs ⋮ Harmonic analysis on reductive Lie groups ⋮ Minimal K-types for certain representations of real semisimple groups ⋮ Generalized Verma modules, the Cartan-Helgason theorem, and the Harish- Chandra homomorphism ⋮ Linear Factorization of Conical Polynomials Over Certain Nonassociative Algebras ⋮ On the Uniqueness of Conical Vectors

Cites Work

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• A duality for symmetric spaces with applications to group representations
• On the existence and irreducibility of certain series of representations
• Algebraic Results on Representations of Semisimple Lie Groups
• Representations of semisimple Lie groups. II