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Tempered representation

In mathematics, a tempered representation of a linear semisimple Lie group is a representation that has a basis whose matrix coefficients lie in the Lp space

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Overview

Formulation

History

Harmonic analysis

Examples

Classification

Tempered distributions

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Map overview Semantic statistics

Tempered representation

Nodes44
Edges43
Triples90
Avg. degree1.95
Density0.045455
Components1

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Tempered representation

Top relations

related to References · 53
Tempered representation → Academic Press, Acta Mathematica, Almost L2, America, An Overview Based, Annals, Anthony, Applied Mathematics, BF02392813, Bibcode, Boston, Classification, Correction, Cowling, Discrete, Examples, Explicit, Gregg, Haagerup, Harish-Chandra
related to history · 14
Tempered representation → Harish-Chandra, Harish-Chandra's, Irreducible, It, James Arthur, Langlands, Lie, Plancherel, Ramanujan-Petersson, Robert Langlands, Satake, Tempered, The, This
related to Classification · 12
Tempered representation → Any, However, If, In, Knappand Zuckerman, Langlands, Lie, MAN, More, R-group, So, The
related to Harmonic analysis · 8
Tempered representation → An, In, L2, Langlands, Lie, Plancherel, Tempered, This
is a · 1
Tempered representation → basic representation

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Important terminology

tempered representations irreducible lie representation group semisimple groups series unitary discrete matrix real basic coefficients classification harish-chandra knapp zuckerman definition

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tempered representationis abasic representation0.90text
infinite central extensions of semisimple Lie groups it does not behave wellinstance ofbut on groups with infinite centers0.80text
is usually replaced by a slightly different definitioninstance ofbut on groups with infinite centers0.80text
Tempered representationrelated to ClassificationThe0.60section
Tempered representationrelated to ClassificationLie0.60section
Tempered representationrelated to ClassificationKnappand Zuckerman0.60section
Tempered representationrelated to ClassificationIn0.60section
Tempered representationrelated to ClassificationIf0.60section
Tempered representationrelated to ClassificationMAN0.60section
Tempered representationrelated to ClassificationLanglands0.60section
Tempered representationrelated to ClassificationAny0.60section
Tempered representationrelated to ClassificationMore0.60section

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