TY - BOOK AU - Magnus,Alfred TI - Non-Spherical Principal Series Representations of a Semisimple Lie Group T2 - Memoirs of the American Mathematical Society SN - 9781470404925 AV - QA387 -- .M34 1979eb U1 - 510/.8 s;512/.55 PY - 1979/// CY - Providence PB - American Mathematical Society KW - Semisimple Lie groups KW - Representations of groups KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113576 ER -