Conical Vectors in Induced Modules

DOI10.2307/1997285zbMath0311.17002OpenAlexW4246457773MaRDI QIDQ4068893

James Lepowsky

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997285

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Simple, semisimple, reductive (super)algebras (17B20) Representation theory of associative rings and algebras (16Gxx)

Related Items

A comparison theory for the structure of induced representations, Basic covariant differential operators on hermitian symmetric spaces, Harmonic analysis on reductive Lie groups, Differential-operator representations of \(S_n\) and singular vectors in Verma modules, Homomorphisms Between Generalized Verma Modules, The Restriction of Admissible Modules to Parabolic Subalgebras, The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras, Invariant differential equations on homogeneous manifolds, Lie algebra homology and the Macdonald-Kac formulas, On multiplicity in the Jordan-Hölder series of Verma modules, A generalization of the Bernstein-Gelfand-Gelfand resolution, Graded characters of induced representations for real reductive Lie groups. I, Linear Factorization of Conical Polynomials Over Certain Nonassociative Algebras, Jantzen coefficients and simplicity of parabolic Verma modules, Uniqueness of Embeddings of Certain Induced Modules, Leading weight vectors and homomorphisms between generalized Verma modules, On the Uniqueness of Conical Vectors, Intertwining differential operators and reducibility of generalized Verma modules

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