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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 331, Pages 5–14 (Mi znsl246)

On F. A. Berezin and his work on representations of current groups

A. M. Vershik

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: 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 by Vershik, Gelfand, and Graev on the multiplicative integral of representations.

UDC: 51(09), 517.986.4

Received: 31.05.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 141:4, 1385–1389

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