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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 301, Pages 229–242
(Mi znsl956)
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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.
Received: 14.10.2003
Citation:
P. Py, “On representation theory of symmetric groups”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Zap. Nauchn. Sem. POMI, 301, POMI, St. Petersburg, 2003, 229–242; J. Math. Sci. (N. Y.), 129:2 (2005), 3806–3813
Linking options:
https://www.mathnet.ru/eng/znsl956 https://www.mathnet.ru/eng/znsl/v301/p229
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Abstract page: | 227 | Full-text PDF : | 82 | References: | 40 |
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