Non-spherical principal series representations of a semisimple Lie group / Alfred Magnus.

Format:

Book

Author/Creator:

Magnus, Alfred, 1951- author.

Series:

Memoirs of the American Mathematical Society ; no. 216.

Memoirs of the American Mathematical Society, 0065-9290 ; number 216

Language:

English

Subjects (All):

Semisimple Lie groups.

Representations of groups.

Physical Description:

1 online resource (61 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1979]

Language Note:

English

Contents:

""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(Ï?)]""; ""Section 5. Irreducibility and Cyclicity""; ""Section 6. Unitarity""; ""Section 7. An Expression for R[sup(γ)][sub(Ï?)]""; ""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(Ï?)][sub(γ)] for su( N,1)""

""Chapter IV""""Section 13. The Zeros of R[sup(γ)][sub(Ï?)] and P[sup(γ)][sub(Ï?)]""; ""Section 14. Representations of the Group G[sub(0)]""; ""Section 15. An Application""; ""Bibliography""

Notes:

"Volume 19 ... (first of 2 numbers)."

Bibliography: pages 51-52.

Description based on print version record.

ISBN:

1-4704-0492-3