Non-Spherical Principal Series Representations of a Semisimple Lie Group.
- 1st ed.
- 1 online resource (61 pages)
- Memoirs of the American Mathematical Society ; v.19 .
- Memoirs of the American Mathematical Society .
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.