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