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cover of the book 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

Ebook: 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

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Content:
Front Matter....Pages i-viii
General Background....Pages 1-67
Front Matter....Pages 69-70
Structure of Semisimple Lie Groups....Pages 71-93
Finite-Dimensional Representation Theory....Pages 94-108
Infinite-Dimensional Representations....Pages 109-130
Infinitesimal Theory of Representations of Semisimple Lie Groups....Pages 131-255
The Role of Differential Equations in the Plancherel Theorem....Pages 257-315
A Geometric Construction of the Discrete Series for Semisimple Lie Groups....Pages 317-378
Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups....Pages 379-383
Front Matter....Pages 385-386
1-Differentiable Deformations of the Poisson Bracket Lie Algebra....Pages 387-396
Differentiable Deformations of the Poisson Bracket Lie Algebra....Pages 397-407
Physical Applications Related to 1-Differentiable Deformations of Poisson Brackets....Pages 408-418
Physical Applications Related to Differentiable Deformations of Poisson Brackets: Quantum Mechanics....Pages 419-428
Separate and Joint Analyticity of Vectors in Group Representations and an Application to Field Theory....Pages 429-438
Nonlinear Representations of Lie Groups and Applications....Pages 439-448
Introduction to the 1-Cohomology of Lie Groups....Pages 449-465
Random Walks on Lie Groups....Pages 467-489
Back Matter....Pages 491-496



Content:
Front Matter....Pages i-viii
General Background....Pages 1-67
Front Matter....Pages 69-70
Structure of Semisimple Lie Groups....Pages 71-93
Finite-Dimensional Representation Theory....Pages 94-108
Infinite-Dimensional Representations....Pages 109-130
Infinitesimal Theory of Representations of Semisimple Lie Groups....Pages 131-255
The Role of Differential Equations in the Plancherel Theorem....Pages 257-315
A Geometric Construction of the Discrete Series for Semisimple Lie Groups....Pages 317-378
Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups....Pages 379-383
Front Matter....Pages 385-386
1-Differentiable Deformations of the Poisson Bracket Lie Algebra....Pages 387-396
Differentiable Deformations of the Poisson Bracket Lie Algebra....Pages 397-407
Physical Applications Related to 1-Differentiable Deformations of Poisson Brackets....Pages 408-418
Physical Applications Related to Differentiable Deformations of Poisson Brackets: Quantum Mechanics....Pages 419-428
Separate and Joint Analyticity of Vectors in Group Representations and an Application to Field Theory....Pages 429-438
Nonlinear Representations of Lie Groups and Applications....Pages 439-448
Introduction to the 1-Cohomology of Lie Groups....Pages 449-465
Random Walks on Lie Groups....Pages 467-489
Back Matter....Pages 491-496
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