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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 256, Pages 95–120 (Mi znsl973)  
This article is cited in 49 scientific papers (total in 49 papers)

The algebra of conjugacy classes in symmetric groups, and partial permutations

V. N. Ivanova, S. V. Kerovb

a M. V. Lomonosov Moscow State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (298 kB) Citations (49)
Abstract: We prove a convolution formula for the conjugacy classes in symmetric groups conjectured by the second author. A combinatorial interpretation of coefficients is provided. As a main tool we introduce new semigroup of partial permutations. We describe its structure, representations, and characters. We also discuss filtrations on the subalgebra of invariants in the semigroup algebra.
Received: 22.06.1999
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 5, Pages 4212–4230
DOI: https://doi.org/10.1023/A:1012473607966
Bibliographic databases:
UDC: 512.547+517.896
Language: Russian
Citation: V. N. Ivanov, S. V. Kerov, “The algebra of conjugacy classes in symmetric groups, and partial permutations”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part III, Zap. Nauchn. Sem. POMI, 256, POMI, St. Petersburg, 1999, 95–120; J. Math. Sci. (New York), 107:5 (2001), 4212–4230
Citation in format AMSBIB
\Bibitem{IvaKer99}
\by V.~N.~Ivanov, S.~V.~Kerov
\paper The algebra of conjugacy classes in symmetric groups, and partial permutations
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~III
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 256
\pages 95--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl973}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1708561}
\zmath{https://zbmath.org/?q=an:0979.20002}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 5
\pages 4212--4230
\crossref{https://doi.org/10.1023/A:1012473607966}
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    • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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