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On F. A. Berezin and his work on representations of current groups. (Russian, English) Zbl 1103.01018

Zap. Nauchn. Semin. POMI 331, 5-14 (2006); translation in J. Math. Sci., New York 141, No. 4, 1385-1389 (2007).
Summary: We tell about F. A. Berezin and his outstanding role in the development of mathematical physics. We discuss the connections between Berezin’s work on representations of current groups with values in the universal covering of the group of motions of the complex ball and the works of Vershik, Gelfand, and Graev on the multiplicative integral of representations.

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
20-03 History of group theory

Biographic References:

Berezin, F. A.
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