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 0422.47023References:
[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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