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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 301, Pages 229–242 (Mi znsl956)  

On representation theory of symmetric groups

P. Py

École Normale Supérieure de Lyon
References:
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
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 2, Pages 3806–3813
DOI: https://doi.org/10.1007/s10958-005-0316-7
Bibliographic databases:
UDC: 512.547.2
Language: English
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
Citation in format AMSBIB
\Bibitem{Py03}
\by P.~Py
\paper On representation theory of symmetric groups
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 301
\pages 229--242
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl956}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2032058}
\zmath{https://zbmath.org/?q=an:1144.20302}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 2
\pages 3806--3813
\crossref{https://doi.org/10.1007/s10958-005-0316-7}
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