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Irreducible Characters and Semisimple Coadjoint Orbits (Q5858230)

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scientific article; zbMATH DE number 7332266

Language	Label	Description	Also known as
English	Irreducible Characters and Semisimple Coadjoint Orbits	scientific article; zbMATH DE number 7332266

Statements

scholarly article

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Benjamin Harris

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publication date

12 April 2021

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full work available at URL

https://arxiv.org/abs/1710.10190

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http://www.heldermann.de/JLT/JLT30/JLT303/jlt30038.htm#jlt303

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zbMATH Keywords

semisimple orbit

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coadjoint orbit

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orbit method

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Kirillov's character formula

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cohomological induction

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parabolic induction

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reductive group

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.RT

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Representations associated to small nilpotent orbits for real Spin groups

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Unipotent representations of complex semisimple groups

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Equivariant sheaves and functors

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Unitarization of a singular representation of \(\text{SO}(p,q)\)

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A limit formula for elliptic orbital integrals

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Characteristic cycles of standard sheaves associated with open orbits

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Caractères des groupes et des algèbres de Lie résolubles

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Fundamental-series representations of a semisimple Lie group

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Sur les extensions des représentations irréductibles des groupes de Lie nilpotents

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Harmonic Analysis in Phase Space. (AM-122)

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Representations of a Semisimple Lie Group on a Banach Space. I

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Representations of semisimple Lie groups. II

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The Characters of Semisimple Lie Groups

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Differential Operators on a Semisimple Lie Algebra

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Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions

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Invariant eigendistributions on a semisimple Lie algebra

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Invariant Eigendistributions on a Semisimple Lie Group

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Discrete series for semisimple Lie groups. II: Explicit determination of the characters

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Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula

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Wave front sets of reductive Lie group representations II

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Wave front sets of reductive Lie group representations

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Wave front sets of reductive Lie group representations. III.

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Minimal representations via Bessel operators

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Equivariant Derived Category and Representation of Real Semisimple Lie Groups

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Caractères des groupes de Lie

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The characters of unitary representations of Lie groups

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Lie groups beyond an introduction

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Nilpotent orbits and some small unitary representations of indefinite orthogonal groups.

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Classification of irreducible tempered representations of semisimple Lie groups

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Classification of irreducible tempered representations of semisimple groups. I

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The Weil representation, Maslov index and theta series

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Imprimitivity for Representations of Locally Compact Groups I

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Induced representation of locally compact groups. I

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Complex analytic coordinates in almost complex manifolds

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On the characters and the Plancherel formula of nilpotent groups

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Characters of algebraic solvable groups

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Kirillov's character formula for reductive Lie groups

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Limit characters of reductive Lie groups

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Limit orbits in reductive Lie algebras

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Tempered representations and orbits

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Characteristic cycles of constructible sheaves

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Two geometric character formulas for reductive Lie groups

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Some small unipotent representations of indefinite orthogonal groups

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On Rossmann's character formula for discrete series

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Representations of real reductive Lie groups

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Unitarizability of certain series of representations

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Dolbeault cohomological realization of Zuckerman modules associated with finite rank representations

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Cohomological induction in various categories and the maximal globalization conjecture

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5858230

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