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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 403, Pages 103–109 (Mi znsl5251)

This article is cited in 2 papers

A remark on representations of infinite symmetric groups

Yu. A. Neretinabc

a University of Vienna, Vienna, Austria
b M. V. Lomonosov Moscow State University, Moscow, Russia
c Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow, Russia

Abstract: We simplify the construction of the Thoma representations of the infinite symmetric group.

Key words and phrases: infinite symmetric group, Fock space, Araki scheme, spherical representation, spherical functions.

UDC: 512.547.4+517.986.4+517.986.9

Received: 08.06.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 190:3, 464–467

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