Characteristic Cycles of Holomorphic Discrete Series

DOI10.2307/2153979zbMath0785.22016OpenAlexW4231690518MaRDI QIDQ4032448

Jen-Tseh Chang

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153979

zbMATH Keywords

flag varietyholomorphic discrete seriesasymptotic expansion of the distribution characters

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (7)

Components of Springer fibers associated to closed orbits for the symmetric pairs \((\mathrm{Sp}(2n), \mathrm{Sp}(2p)\times\mathrm{Sp}(2q))\) and \((\mathrm{SO}(2n), \mathrm{GL}(n))\). I. ⋮ \(K\)-orbits on the flag variety and strongly regular nilpotent matrices ⋮ 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 ⋮ Unnamed Item ⋮ Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞) ⋮ Invariant measures on nilpotent orbits associated with holomorphic discrete series ⋮ One-dimensional representations of \({U(p,q)}\) and the Howe correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on real nilpotent orbits of a symmetric pair
• Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals
• Special \(K\)-types, tempered characters and the Beilinson-Bernstein realization
• The local structure of characters
• Limit characters of reductive Lie groups
• Representations of real reductive Lie groups
• Limit orbits in reductive Lie algebras
• A proof of Blattner's conjecture
• On the characters of the discrete series. The Hermitian symmetric case
• Harmonic analysis on real reductive groups
• Kirillov's character formula for reductive Lie groups
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• A character formula for the discrete series of a semisimple Lie group
• The Character Polynomial of the Annihilator of an Irreducible Harish Chandra Module
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS
• Orbits and Representations Associated with Symmetric Spaces

This page was built for publication: Characteristic Cycles of Holomorphic Discrete Series