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Two inequalities for parameters of a cellular algebra

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Abstract

Two inequalities are proved. The first is a generalization for cellular algebras of a well- known theorem about the coincidence of the degree and the multiplicity of an irreducible representation of a finite group in its regular representation. The second inequality that is proved for primitive cellular algebras gives an upper bound for the minimal subdegree of a primitive permutation group in terms of the degrees of its irreducible representations in the permutation representation.

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Authors
  1. S. A. Evdokimov
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  2. I. N. Ponomarenko
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 240, 1997, pp. 82–95.

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Evdokimov, S.A., Ponomarenko, I.N. Two inequalities for parameters of a cellular algebra. J Math Sci 96, 3496–3504 (1999). https://doi.org/10.1007/BF02175828

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  • DOI: https://doi.org/10.1007/BF02175828

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