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Operators of the regular representation for a class of non-Lie commutation relations. (English) Zbl 0434.47029

MSC:

47L05 Linear spaces of operators
47A67 Representation theory of linear operators
17B15 Representations of Lie algebras and Lie superalgebras, analytic theory

Citations:

Zbl 0422.47023
Full Text: DOI

References:

[1] V. P. Maslov, Teor. Mat. Fiz.,33, No. 2, 185–209 (1977). · Zbl 0417.47016 · doi:10.1007/BF01036594
[2] M. V. Karasev, Dokl. Akad. Nauk SSSR,243, No. 1, 15–18 (1978).
[3] F. A. Berezin and G. I. Kats, Mat. Sb.,82, 343–359 (1970).
[4] B. Kostant, Lect. Notes Math., Vol. 570, Springer-Verlag, New York (1975), pp. 177–307.
[5] V. P. Maslov, Operator Methods [in Russian], Nauka, Moscow (1973).
[6] B. M. Levitan, Theory of Generalized Shift Operators [in Russian], Nauka, Moscow (1973). · Zbl 0273.34010
[7] V. P. Maslov and V. E. Nazaikinskii, in: Modern Problems in Mathematics [in Russian], Vol. 13 (1979), pp. 3–144.
[8] M. V. Karasev and V. P. Maslov, in: Modern Problems in Mathematics [in Russian], Vol. 13 (1979), pp. 145–268.
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