scientific article; zbMATH DE number 1201812

zbMath0909.22027MaRDI QIDQ4210557

David A. jun. Vogan, Jing-Song Huang, Jeffrey D. Adams

Publication date: 22 September 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

coadjoint orbitalgebraic representationregular functioncomplex algebraic groupcomplex simple groupsmodel orbit

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46)

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Cites Work

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• Remarks on real nilpotent orbits of a symmetric pair
• Homogeneous vector bundles
• Théorie de Mackey pour les groupes de Lie algébriques
• Unipotent representations of complex semisimple groups
• Classification of nilpotent elements in simple exceptional real Lie algebras of inner type and description of their centralizers
• Rings of regular functions on nilpotent orbits and their covers
• The algebraic structure of the representation of semisimple Lie groups. I
• Representations of real reductive Lie groups
• On the singularities of nilpotent orbits
• Functions on the universal cover of the principal nilpotent orbit
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Semisimple subalgebras of semisimple Lie algebras
• Rings of regular functions on nilpotent orbits 11:model algebras and orbits
• Orbits and Representations Associated with Symmetric Spaces
• Introduction to Lie Algebras and Representation Theory