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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2003 Volume 301, Pages 212–218 (Mi znsl954)

This article is cited in 5 papers

A realization of the irreducible representations of $S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms

P. P. Nikitin

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

Abstract: The article gives a simple realization of the representations of $S_n$ corresponding to 2-row diagrams and an explicit description of the corresponding branching rule. The representations form a subgraph of the Young graph, and they are realized in square-free symmetric multilinear forms.

UDC: 512.547.212+512.542.7

Received: 21.09.2003


 English version:
Journal of Mathematical Sciences (New York), 2005, 129:2, 3796–3799

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