This article is cited in 1 paper

The finite basis property for some classes of irreducible representations of symmetric groups

V. V. Shchigolev

M. V. Lomonosov Moscow State University

Abstract: The possibility of defining irreducible representations of symmetric groups by means of finitely many relations is studied. The existence of finite bases is established for the classes of representations corresponding to two-part partitions and to partitions in the fundamental alcove.

UDC: 512.547.2

MSC: 20C30

Received: 06.05.2002

DOI: 10.4213/sm724

 English version: Sbornik: Mathematics, 2003, 194:3, 457–468

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