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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2003 Volume 301, Pages 229–242 (Mi znsl956)

On representation theory of symmetric groups

P. Py

École Normale Supérieure de Lyon

Abstract: We present here a new approach to description of finite-dimensional complex irreducible representations of symmetric groups due to A. Okounkov and A. Vershik. It gives an alternative construction to the combinatorial one using tabloids, polytabloids and Specht modules. Its aim is to show how the combinatorial objects of the theory (Young diagrams and tableaux) come from the inside structure of the symmetric group.

UDC: 512.547.2

Received: 14.10.2003

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2005, 129:2, 3806–3813

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© Steklov Math. Inst. of RAS, 2025