Two inequalities for parameters of a cellular algebra
Two inequalities for parameters of a cellular algebra
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细胞代数参数的两个不等式
DOI：
10.1007/bf02175828
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发表时间：
1999
影响因子：
--
通讯作者：
I. Ponomarenko
中科院分区：
文献类型：
--
作者：
S. Evdokimov;I. Ponomarenko
证明了两个不等式。第一个定理是关于有限群的不可约表示在其正则表示中的次数和重数的重合性的著名定理在胞腔代数中的推广。第二个不等式是证明了本原细胞代数给出了一个上界的最小subdegree的本原置换群的程度，其不可约表示的置换表示。
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.