Representations of semisimple groups associated to nilpotent orbits

DOI10.24033/asens.1264zbMath0307.22012OpenAlexW2599016666MaRDI QIDQ4064219

Linda Preiss Rothschild, Joseph A. Wolf

Publication date: 1974

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_1974_4_7_2_155_0

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Hermitian Lie Algebras and Metaplectic Representations. I ⋮ Twistors and geometric quantisation theory ⋮ Remark on Nilpotent Orbits ⋮ Symplectic geometry ⋮ Algebraic deformation program on minimal nilpotent orbit

Cites Work

• Partially harmonic spinors and representations of reductive Lie groups
• Quelques remarques sur les groupes de Lie algébriques réels
• On the unitary representations of exponential groups
• Characters of algebraic solvable groups
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Centralizers of unipotent elements in semisimple algebraic groups
• On polarizations of certain homogeneous spaces
• Polarizations of certain homogeneous spaces and most continuous principal series
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• Lie Group Representations on Polynomial Rings
• On Induced Representations II: Infinitesimal Induction
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Harmonic analysis on semisimple Lie groups
• Caractères des groupes et des algèbres de Lie résolubles
• Quantization and unitary representations
• Orbits and Representations Associated with Symmetric Spaces
• Sur les extensions des représentations irréductibles des groupes de Lie nilpotents
• On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item