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Representations of Lie groups by Etingof P. is a nonfiction available to read on EtoBox.

What is Representations of Lie groups about?

Introduction 1. Continuous representations of topological groups 1.1. Topological vector spaces 1.2. Continuous representations 1.3. Subrepresentations, irreducible representations 2. K-finite vectors and matrix coefficients 2.1. K-finite vectors 2.2. Matrix coefficients 2.3. The Peter-Weyl theorem 2.4. Partitions of unity 3. Algebras of measures on locally compact groups 3.1. The space of measures 3.2. Support of a measure 3.3. Finitely supported measures 3.4. The algebra of measures on a locally compact group 4. Plancherel formulas, Dirac sequences, smooth vectors 4.1. Plancherel formulas 4.2. Dirac sequences 4.3. Density of K-finite vectors 4.4. Smooth vectors 5. Admissible representations and (g,K)-modules 5.1. Admissible representations 5.2. (g,K)-modules 5.3. Harish-Chandra's admissibility theorem 6. Weakly analytic vectors 6.1. Weakly analytic vectors and Harish-Chandra's analyticity 6.2. Elliptic regularity 6.3. Proof of Harish-Chandra's analyticity Theorem 6.4. Applications of weakly analytic vectors 7. Infinitesimal equivalence and globalization 7.1. Infinitesimal equivalence 7.2. Dixmier's lemma and infinitesimal character 7.3. Harish-Chandra's globalization theorem 8. H

Who reads Representations of Lie groups?

Author

Etingof P.

Publisher

Association for Mathematical Research

Published

2024

Language

EN

ISBN

9781959384052

Category

nonfiction