Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra

DOI10.1090/S0002-9947-01-02851-3zbMath1044.17004WikidataQ115289148 ScholiaQ115289148MaRDI QIDQ2723471

Thierry Levasseur

Publication date: 5 July 2001

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

zbMATH Keywords

Weyl groupsemisimple Lie algebranilpotent orbitinvariant distribution

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Rings of differential operators (associative algebraic aspects) (16S32) Simple, semisimple, reductive (super)algebras (17B20) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

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• The \(L^ 2\)-Lefschetz numbers of Hecke operators
• The invariant holonomic system on a semisimple Lie algebra
• Primitive ideals and orbital integrals in complex exceptional groups
• The local structure of characters
• Primitive ideals and orbital integrals in complex classical groups
• Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. II: Representations of Weyl groups
• Orbital integrals in reductive groups
• Harmonic analysis on real reductive groups
• Equivariant \(D\)-modules attached to nilpotent orbits in a semisimple Lie algebra
• Orbital integrals on reductive Lie algebras
• Invariant differential operators on the tangent space of some symmetric spaces
• Invariant Differential Operators on a Reductive Lie Algebra and Weyl Group Representations
• Semi-simplicity of invariant holonomic systems on a reductive Lie algebra
• The kernel of an homomorphism of Harish-Chandra

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