A. M. Vershik, A. Yu. Okounkov, “A new approach to the representation theory of the symmetric groups. II”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part X, Zap. Nauchn. Sem. POMI, 307, POMI, St. Petersburg, 2004, 57–98; J. Math. Sci. (N. Y.), 131:2 (2005), 5471

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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 307, Pages 57–98 (Mi znsl840)

This article is cited in 61 scientific papers (total in 62 papers)

A new approach to the representation theory of the symmetric groups. II

A. M. Vershik^a, A. Yu. Okounkov^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b Princeton University

Full-text PDF (429 kB) Citations (62)

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Abstract: The present paper is a revised Russian translation of the paper “A new approach to representation theory of symmetric groups”, Selecta Math., New Series, 2, No. 4 (1996), 581–605. Numerous modifications to the text were made by the first author for this publication.

Received: 02.03.2004

English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 2, Pages 5471–5494
DOI: https://doi.org/10.1007/s10958-005-0421-7

Bibliographic databases:

UDC: 512.547

Language: Russian

Citation: A. M. Vershik, A. Yu. Okounkov, “A new approach to the representation theory of the symmetric groups. II”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part X, Zap. Nauchn. Sem. POMI, 307, POMI, St. Petersburg, 2004, 57–98; J. Math. Sci. (N. Y.), 131:2 (2005), 5471–5494

Citation in format AMSBIB

\Bibitem{VerOko04}

\by A.~M.~Vershik, A.~Yu.~Okounkov

\paper A~new approach to the representation theory of the symmetric groups.~II

\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~X

\serial Zap. Nauchn. Sem. POMI

\yr 2004

\vol 307

\pages 57--98

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl840}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2050688}

\zmath{https://zbmath.org/?q=an:1083.20502}

\elib{https://elibrary.ru/item.asp?id=9127648}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2005

\vol 131

\issue 2

\pages 5471--5494

\crossref{https://doi.org/10.1007/s10958-005-0421-7}

\elib{https://elibrary.ru/item.asp?id=13492541}

Linking options:

https://www.mathnet.ru/eng/znsl840

https://www.mathnet.ru/eng/znsl/v307/p57

Cycle of papers

A new approach to the representation theory of the symmetric groups. II
A. M. Vershik, A. Yu. Okounkov
Zap. Nauchn. Sem. POMI, 2004, 307, 57–98
A new approach to the representation theory of the symmetric groups. III. Induced representations and the Frobenius–Young correspondence
A. M. Vershik
Mosc. Math. J., 2006, 6:3, 567–585
A New Approach to the Representation Theory of the Symmetric Groups, IV. $\mathbb Z_2$-Graded Groups and Algebras; Projective Representations of the Group $S_n$
A. M. Vershik, A. N. Sergeev
Mosc. Math. J., 2008, 8:4, 813–842

This publication is cited in the following 62 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	104

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