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Non-Spherical Principal Series Representations of a Semisimple Lie Group.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1979Copyright date: ©1979Edition: 1st edDescription: 1 online resource (61 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404925
Subject(s): Genre/Form: Additional physical formats: Print version:: Non-Spherical Principal Series Representations of a Semisimple Lie GroupDDC classification:
  • 510/.8 s;512/.55
LOC classification:
  • QA387 -- .M34 1979eb
Online resources:
Contents:
Intro -- Table of Contents -- Introduction -- Chapter I -- Section 1. Definitions and Major Results -- Section 2. An Outline -- Chapter II -- Section 3. Preliminaries -- Section 4. The Irreducible Modules Z[sup(γ)][sub(τ)] -- Section 5. Irreducibility and Cyclicity -- Section 6. Unitarity -- Section 7. An Expression for R[sup(γ)][sub(τ)] -- Chapter III -- Section 8. Reduction to Rank One -- Section 9. The Rank One Case -- Section 10. The Diagonal Map -- Section 11. Finite Dimensional Representations -- Section 12. Calculating P[sup(τ)][sub(γ)] for su( N,1) -- Chapter IV -- Section 13. The Zeros of R[sup(γ)][sub(τ)] and P[sup(γ)][sub(τ)] -- Section 14. Representations of the Group G[sub(0)] -- Section 15. An Application -- Bibliography.
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Intro -- Table of Contents -- Introduction -- Chapter I -- Section 1. Definitions and Major Results -- Section 2. An Outline -- Chapter II -- Section 3. Preliminaries -- Section 4. The Irreducible Modules Z[sup(γ)][sub(τ)] -- Section 5. Irreducibility and Cyclicity -- Section 6. Unitarity -- Section 7. An Expression for R[sup(γ)][sub(τ)] -- Chapter III -- Section 8. Reduction to Rank One -- Section 9. The Rank One Case -- Section 10. The Diagonal Map -- Section 11. Finite Dimensional Representations -- Section 12. Calculating P[sup(τ)][sub(γ)] for su( N,1) -- Chapter IV -- Section 13. The Zeros of R[sup(γ)][sub(τ)] and P[sup(γ)][sub(τ)] -- Section 14. Representations of the Group G[sub(0)] -- Section 15. An Application -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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