Tempered representations and nilpotent orbits

DOI10.1090/S1088-4165-2012-00414-9zbMath1302.22008arXiv1209.4123MaRDI QIDQ2937169

Benjamin Harris

Publication date: 8 January 2015

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

Full work available at URL: https://arxiv.org/abs/1209.4123

zbMATH Keywords

coadjoint orbitreductive Lie groupnilpotent orbittempered representationassociated varietydiscrete series representationreal reductive algebraic groupdistinguished nilpotent orbitnoticed nilpotent orbitwave front cycle

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

Local and multilinear noncommutative de Leeuw theorems ⋮ Generalized and degenerate Whittaker models ⋮ 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 ⋮ Whittaker supports for representations of reductive groups ⋮ Annihilator varieties of distinguished modules of reductive Lie algebras ⋮ Approximation of nilpotent orbits for simple Lie groups

Cites Work

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• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• The local structure of characters
• Limit characters of reductive Lie groups
• Tempered representations and orbits
• Limit orbits in reductive Lie algebras
• Characteristic cycles and wave front cycles of representations of reductive Lie groups
• Picard-Lefschetz theory and characters of a semisimple Lie group
• Classes of unipotent elements in simple algebraic groups. II
• Invariant Differential Operators and Distributions on a Semisimple Lie Algebra
• Front d'onde des representations des groupes classiques p -adiques

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