Integral models of unitary representations of current groups with values in semidirect products-Reference-Cited by-同舟云学术

Integral models of unitary representations of current groups with values in semidirect products

Published:2008-10 Issue:4 Volume:42 Page:279-289
ISSN:0016-2663
Container-title:Functional Analysis and Its Applications
language:en
Short-container-title:Funct Anal Its Appl

Author:

Vershik A. M.,Graev M. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10688-008-0041-3.pdf

Reference18 articles.

1. H. Araki, “Factorizable representations of the current algebra,” Publ. RIMS Kyoto Univ. Ser. A, 5:3 (1970), 361–422.

2. A. M. Vershik, I. M. Gelfand, and M. I. Graev, “Representations of the group SL(2, R), where R is a ring of functions,” Uspekhi Mat. Nauk, 28:5 (1973), 83–128; English transl.: Russian Math. Surveys, 28:5 (1973), 87–132; also in: Representation Theory London Math. Soc. Lect. Note Ser., vol. 69, Cambridge Univ. Press, 1982, 15–60.

3. A. M. Vershik, I. M. Gelfand, and M. I. Graev, “Irreducible representations of the group G X and cohomology,” Funkts. Anal. Prilozhen., 8:2 (1974), 67–69; English transl.: Funct. Anal. Appl., 8 (1974), 151–153.

4. F. A. Berezin, “Representations of the continuous direct product of universal coverings of the group of motions of a complex ball,” Trudy Moskov. Mat. Obshch., 36 (1978), 275–293; English transl.: Trans. Mosc. Math. Soc., 36 (1979), 281–298.

5. I. M. Gelfand, M. I. Graev, and A. M. Vershik, “Models of representations of current groups,” in: Representations of Lie Groups and Lie Algebras, Akad. Kiado, Budapest, 1985, 121–179.

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