The oscillator duality correspondence for the pair O(2,2), Sp(2,R) / Tomasz Przebinda.

Format:

Book

Author/Creator:

Przebinda, Tomasz, 1956- author.

Series:

Memoirs of the American Mathematical Society ; Volume 79, Number 403.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 79, Number 403

Language:

English

Subjects (All):

Representations of groups.

Galois correspondences.

Lie groups.

Physical Description:

1 online resource (123 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island, United States : American Mathematical Society, 1989.

Language Note:

English

Contents:

""ÂI. 0(2,2) x Sp(1,R)""""Â2. The discrete series of 0[sub(2,2)], I""; ""Â3. The discrete series of 0[sub(2,2)], II""; ""Â4. The principal series""; ""Â5. The maximal parabolics""; ""Â6. Completeness of the list and unitarity""; ""Appendix A. The Unitary Dual of Sp(2,R)""; ""Â1. Lowest K'â€?types""; ""Â2. Decomposition of the principal series""; ""Â3. The unitary representations attached to H[sub(0)]""; ""Â4. The representations induced from maximal parabolic subgroups""; ""Appendix B. The Smooth Frobenius Reciprocity Theorem""

""Appendix C. The determinant representation of 0(p,q) and the Oscillator Duality Correspondence""

Notes:

"May 1989, Volume 79, Number 403 (third of 4 numbers)"--Cover.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0823-6