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Characters of the unitary representations of Lie groups: reduction theorems. (English. Russian original) Zbl 0194.33901
Funct. Anal. Appl. 3, 29-38 (1969); translation from Funkts. Anal. Prilozh. 3, No. 1, 36-47 (1969).

Keywords:
group theory
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References:
[1] A. A. Kirillov, ”Method of orbits in the theory of the unitary representations of Lie groups,” Funktsional. Analiz i Ego Prilozhen.,2, No. 1, 98-100 (1968). · Zbl 0194.33804
[2] A. A. Kirillov, ”Characters of the unitary representations of Lie groups,” Funktsional. Analiz i Ego Prilozhen.,2, No. 2, 40-55 (1968). · Zbl 0174.45001
[3] L. S. Pontryagin, Continuous Groups [in Russian], Gostekhizdat, Moscow (1954). · Zbl 0058.26003
[4] V. Bargman, ”On unitary ray representation of continuous groups,” Ann. Math.,59, No. 1, 1-46 (1954). · Zbl 0055.10304
[5] F. A. Berezin, The Second Quantization Method [in Russian], ”Nauka,” Moscow (1966). · Zbl 0151.44001
[6] A. Weil, ”Sur certaines groups d’opĂ©rateurs unitaires [Certain groups of unitary operators],” Acta Math.,111, No. 4, 143-211 (1964). · Zbl 0203.03305
[7] N. Bourbaki, Algebra; Modules, Rings, and Forms [Russian translation], ”Nauka,” Moscow (1966). · Zbl 0301.54001
[8] I. M. Gel’fand and G. E. Shilov, Generalized Functions and Operations on Them [in Russian], Fizmatgiz, Moscow (1959). · Zbl 0091.11102
[9] L. Pukanszki, ”On the unitary representation of exponential groups,” J. Functional Anal.,2, No. 1, 73-113 (1968). · Zbl 0172.18502
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