Two geometric character formulas for reductive Lie groups

DOI10.1090/S0894-0347-98-00275-6zbMath0976.22010arXivmath/9801081WikidataQ115281371 ScholiaQ115281371MaRDI QIDQ4211062

Wilfried Schmid, Kari Vilonen

Publication date: 10 September 1998

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

Full work available at URL: https://arxiv.org/abs/math/9801081

zbMATH Keywords

charactersreductive groupscompact Lie groupKirillov's character formula

Mathematics Subject Classification ID

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

Related Items

Unnamed Item, A fixed point localization formula for the Fourier transform of regular semisimple coadjoint orbits, Codimension one connectedness of the graph of associated varieties, Irreducible Characters and Semisimple Coadjoint Orbits, A localization argument for characters of reductive Lie groups, A LIMIT FORMULA FOR EVEN NILPOTENT ORBITS, Limit formulas for groups with one conjugacy class of Cartan subgroups, Koszul duality for quasi-split real groups, Unnamed Item, Constant term in Harish-Chandra's limit formula, Characteristic cycles of standard sheaves associated with open orbits, Invariant measures on nilpotent orbits associated with holomorphic discrete series, A limit formula for elliptic orbital integrals

Cites Work

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• Characters, asymptotic and n-homology of Harish-Chandra modules
• Théorie de Mackey pour les groupes de Lie algébriques
• The invariant holonomic system on a semisimple Lie algebra
• Localization and standard modules for real semisimple Lie groups. I: The duality theorem
• The Riemann-Hilbert problem for holonomic systems
• Semianalytic and subanalytic sets
• The algebraic structure of the representation of semisimple Lie groups. I
• Sur les semi-caractères des groupes de Lie resolubles connexes
• Orbits on affine symmetric spaces under the action of parabolic subgroups
• Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. II: Representations of Weyl groups
• Local contribution to the Lefschetz fixed point formula
• The characters of representations of Harish-Chandra
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Some properties of squareintegrable representations of semisimple Lie groups
• Kirillov's character formula for reductive Lie groups
• Equivariant sheaves and functors
• Matsuki correspondence for sheaves
• Geometric quantization and derived functor modules for semisimple Lie groups
• Characteristic varieties of character sheaves
• Characteristic cycles of constructible sheaves
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• The characters of unitary representations of Lie groups
• The characters of some induced representations of semi-simple Lie groups
• Characters of the unitary representations of Lie groups: reduction theorems
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Locally homogeneous complex manifolds
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Invariant Differential Operators and Distributions on a Semisimple Lie Algebra
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
• Representations of a Semisimple Lie Group on a Banach Space. I
• Representations of semisimple Lie groups. II