The kernel of an homomorphism of Harish-Chandra

DOI10.24033/asens.1743zbMath0859.22010OpenAlexW1544480143MaRDI QIDQ4889772

Thierry Levasseur, J. Toby Stafford

Publication date: 31 March 1997

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1996_4_29_3_385_0

zbMATH Keywords

Weyl grouprepresentationLie algebradifferential operatorsreductive groups

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Rings of differential operators (associative algebraic aspects) (16S32) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (14)

Generalized Springer theory for \(D\)-modules on a reductive Lie algebra ⋮ Howe correspondence and Springer correspondence for real reductive dual pairs ⋮ Isospectral commuting variety, the Harish-Chandra \(\mathcal D\)-module, and principal nilpotent pairs ⋮ Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra ⋮ Parabolic induction and the Harish-Chandra D-module ⋮ Filtrations on Springer fiber cohomology and Kostka polynomials ⋮ A homomorphism of Harish-Chandra and direct images of $\mathcal {D}$-modules ⋮ \({\mathcal D}\)-modules and characters of semisimple Lie groups ⋮ Nilpotent bicone and characteristic submodule of a reductive Lie algebra ⋮ A Capelli Harish-Chandra homomorphism ⋮ Invariant differential operators on the tangent space of some symmetric spaces ⋮ Equivariant \(D\)-modules attached to nilpotent orbits in a semisimple Lie algebra ⋮ On the orbit method and the homomorphism of Harish-Chandra ⋮ Finite-dimensional representations of invariant differential operators

Cites Work

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• Invariant Differential Operators on a Reductive Lie Algebra and Weyl Group Representations
• Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.
• Lifting differential operators from orbit spaces
• Invariant Differential Operators and an Homomorphism of Harish-Chandra
• Lie Group Representations on Polynomial Rings
• Invariant Distributions on Lie Algebras
• Invariant Differential Operators and Distributions on a Semisimple Lie Algebra

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