A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group GL(n, ℂ) in the space of functions on the variety of these schemes
- 30 Downloads
KeywordsUnitary Representation DOKLADY Mathematic Principal Series Irreducible Unitary Representation Identity Character
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 1.I. M. Gelfand and M. A. Naimark, Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 36, 1950.Google Scholar
- 2.I. M. Gelfand and M. L. Tsetlin, Dokl. Akad. Nauk SSSR 71, 825–828 (1950).Google Scholar
- 4.I. M. Gelfand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation Theory and Automorphic Functions (Nauka, Moscow, 1966; Saunders, Philadelphia, 1968).Google Scholar
- 5.M. I. Graev, Dokl. Math. 68, 204–210 (2003) [Dokl. Akad. Nauk 392, 301–308 (2003)].Google Scholar
© Pleiades Publishing, Ltd. 2007