1980Medical Entomology and ZoologyRequires access

Harmonic Analysis and Representations of Semisimple Lie Groups : Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Liège, Belgium, September 5-17, 1977

Joseph A. Wolf, Michel Cahen, Marc de Wilde

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Abstract

General Background.- Foundations of Representation Theory for Semisimple Lie Groups.- Infinitesimal Theory of Representations of Semisimple Lie Groups.- The Role of Differential Equations in the Plancherel Theorem.- A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Deformations of Poisson Brackets. Separate and Joint Analyticity in Group Representations. Non-linear Group Representations and Physical Applications.- to the 1-Cohomology of Lie Groups.- Random Walks on Lie Groups.

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General Background.- Foundations of Representation Theory for Semisimple Lie Groups.- Infinitesimal Theory of Representations of Semisimple Lie Groups.- The Role of Differential Equations in the Plancherel Theorem.- A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Deformations of Poisson Brackets. Separate and Joint Analyticity in Group Representations. Non-linear Group Representations and Physical Applications.- to the 1-Cohomology of Lie Groups.- Random Walks on Lie Groups.

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Available abstract

General Background.- Foundations of Representation Theory for Semisimple Lie Groups.- Infinitesimal Theory of Representations of Semisimple Lie Groups.- The Role of Differential Equations in the Plancherel Theorem.- A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Deformations of Poisson Brackets. Separate and Joint Analyticity in Group Representations. Non-linear Group Representations and Physical Applications.- to the 1-Cohomology of Lie Groups.- Random Walks on Lie Groups.

Key concepts: Fundamental representation, Mathematics, Lie group, Representation of a Lie group, Representation theory of SU, Simple Lie group, Representation theory, Lie theory

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Harmonic Analysis and Representations of Semisimple Lie Groups : Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Liège, Belgium, September 5-17, 1977 — Research Paper | ScholarLens