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https://doi.org/10.1006/jfan.1994.1150
| Title: | On Some Degenerate Principal Series Representations of U(n,n) | Authors: | Lee, S.T. | Issue Date: | Dec-1994 | Citation: | Lee, S.T. (1994-12). On Some Degenerate Principal Series Representations of U(n,n). Journal of Functional Analysis 126 (2) : 305-366. ScholarBank@NUS Repository. https://doi.org/10.1006/jfan.1994.1150 | Abstract: | We study the infinitesimal action of u(n, n) on the degenerate principal series representations of U(n, n) associated with a parabolic subgroup which stabilizes a maximal isotropic subspace of C2n relative to the indefinite Hermitian form with signature (n, n). This allows us in particular to determine the reducibility, socle series, and unitarity of these representations. © 1994 Academic Press. All rights reserved. | Source Title: | Journal of Functional Analysis | URI: | http://scholarbank.nus.edu.sg/handle/10635/103757 | ISSN: | 00221236 | DOI: | 10.1006/jfan.1994.1150 |
| Appears in Collections: | Staff Publications |
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