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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 82–95 (Mi znsl468)  
This article is cited in 10 scientific papers (total in 10 papers)

Two inequalities for parameters of a cellular algebra

S. A. Evdokimova, I. N. Ponomarenkob

a St. Petersburg Institute for Informatics and Automation of RAS
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (223 kB) Citations (10)
Abstract: Two inequalities are proved. The first one generalizes for cellular algebras a well-known theorem about coincidence of the degree and the multiplicity of an irreducible representation of a finite group in the regular representation of it. The second inequality which is proved for primitive cellular algebras, gives an upper bound for the minimum subdegree of a primitive permutation group in terms of the degrees of its irreducible representations in the permuation representation.
Received: 02.09.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3496–3504
DOI: https://doi.org/10.1007/BF02175828
Bibliographic databases:
UDC: 517.896
Language: Russian
Citation: S. A. Evdokimov, I. N. Ponomarenko, “Two inequalities for parameters of a cellular algebra”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 82–95; J. Math. Sci. (New York), 96:5 (1999), 3496–3504
Citation in format AMSBIB
\Bibitem{EvdPon97}
\by S.~A.~Evdokimov, I.~N.~Ponomarenko
\paper Two inequalities for parameters of a cellular algebra
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 82--95
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl468}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691640}
\zmath{https://zbmath.org/?q=an:0960.20006}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3496--3504
\crossref{https://doi.org/10.1007/BF02175828}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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