scientific article

zbMath0794.22011MaRDI QIDQ3141539

Jen-Tseh Chang

Publication date: 18 August 1994

Full work available at URL: http://www.numdam.org/item?id=CM_1993__88_3_265_0

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zbMATH Keywords

Lie algebraenveloping algebraLiouville measuresconnected semisimple Lie groupinvariant eigendistributionstandard filtrationfinite centerirreducible Harish-Chandra modulecomplex semisimple Lie groupsSekiguchi correspondence

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) General properties and structure of complex Lie groups (22E10)

Related Items (7)

Characteristic cycles of highest weight Harish-Chandra modules for \(\mathrm{Sp}(2n,\mathbb{R})\) ⋮ Components of Springer fibers associated to closed orbits for the symmetric pairs \((Sp(2n), GL(n))\) and \((O(n), O(p) \times O(q))\). II ⋮ Components of Springer fibers associated to closed orbits for the symmetric pairs \((Sp(2n),GL(n))\) and \((O(n),O(p)\times O(q))\). I ⋮ Components of Springer fibers associated to closed orbits for the symmetric pairs \((\mathrm{Sp}(2n), \mathrm{Sp}(2p) \times \mathrm{Sp}(2q))\) and \((\mathrm{SO}(2n), \mathrm{GL}(n))\). II ⋮ Richardson orbits for real classical groups ⋮ Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞) ⋮ On the associated cycles of discrete series representations

Cites Work

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• Primitive ideals and representations
• The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra
• Special \(K\)-types, tempered characters and the Beilinson-Bernstein realization
• The local structure of characters
• Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II
• Representations of real reductive Lie groups
• Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. II: Representations of Weyl groups
• Gelfand-Kirillov dimension for Harish-Chandra modules
• On the characteristic polynomials of orbital varieties
• Characteristic Cycles of Holomorphic Discrete Series
• Orbits and Representations Associated with Symmetric Spaces

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