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Zapiski Nauchnykh Seminarov 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
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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.
Received: 31.05.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 4, Pages 1385–1389
DOI: https://doi.org/10.1007/s10958-007-0045-1
Bibliographic databases:
UDC: 51(09), 517.986.4
Language: Russian
Citation: A. M. Vershik, “On F. A. Berezin and his work on representations of current groups”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIV, Zap. Nauchn. Sem. POMI, 331, POMI, St. Petersburg, 2006, 5–14; J. Math. Sci. (N. Y.), 141:4 (2007), 1385–1389
Citation in format AMSBIB
\Bibitem{Ver06}
\by A.~M.~Vershik
\paper On F.\,A.~Berezin and his work on representations of current groups
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XIV
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 331
\pages 5--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2251338}
\zmath{https://zbmath.org/?q=an:1103.01018}
\elib{https://elibrary.ru/item.asp?id=13563525}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 4
\pages 1385--1389
\crossref{https://doi.org/10.1007/s10958-007-0045-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846813823}
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