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Representation of noncompact groups $U(p,q)$. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 311-327 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method is proposed for constructing irreducible representation of noncompact pseudounitary groups. A method is proposed for constructing irreducible representation of noncompact pseudounitary groups $U(p,q)$ based on the passage from a regular group representation to the “limit” obtained from the regular group for infinite values of the noncompact parameters. 
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     title = {Representation of noncompact groups $U(p,q)$. {I}},
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A. N. Leznov; M. V. Saveliev. Representation of noncompact groups $U(p,q)$. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 311-327. http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a4/

[1] Fizika vysokikh energii i teoriya elementarnykh chastits, «Naukova dumka», 1967 | MR

[2] M. I. Graev, Tr. Mosk. matem. ob-va, 7 (1958), 335 | MR | Zbl

[3] I. M. Gelfand, M. I. Graev, Izv. AN SSSR, ser. matem., 29:6 (1965), 1329–1356 | MR | Zbl

[4] A. N. Leznov, Preprint 68-33-K; Препринт 68-51-К, ИФВЭ, 1968

[5] I. M. Gelfand, M. L. Tsetlin, DAN SSSR, 71 (1950), 825 | Zbl

[6] A. V. Nikolov, K. V. Rerikh, Preprint 5-2962, OIYaI, 1966

[7] A. N. Leznov, M. V. Savelev, Preprint IFVE 68-53-K, 1968 | MR

[8] G. E. Baird, L. C. Biedenharn, J. Math. Phys., 4 (1963), 1449 ; 5, 1723 ; (1964), 1730 ; 6 (1965), 1847 | DOI | MR | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl

[9] I. M. Gelfand, M. I. Graev, N. Ya. Vilenkin, Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii, Obobschennye funktsii, vyp. 5, Fizmatgiz, 1962 | MR