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

This paper is 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. Bibliography: 14 titles. [ABSTRACT FROM AUTHOR]