Certain pairs of irreducible characters of the groups S n

被引：0
|
作者：
Belonogov V.A. [1 ]
机构：
[1] Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg 620219
来源：
Proceedings of the Steklov Institute of Mathematics | 2007年 / 259卷 / Suppl 2期
基金：
俄罗斯基础研究基金会; 中国国家自然科学基金;
关键词：
STEKLOV Institute; Representation Theory; Symmetric Group; Maximal Element; Young Diagram;
D O I：
10.1134/S0081543807060028
中图分类号：
学科分类号：
摘要：
The investigation of the pairs of irreducible characters of the symmetric group S n that have the same set of roots in one of the sets A n and S n \ A n is continued. All such pairs of irreducible characters of the group S n are found in the case when the least of the main diagonal's lengths of the Young diagrams corresponding to these characters does not exceed 2. Some arguments are obtained for the conjecture that alternating groups A n have no pairs of semiproportional irreducible characters. © 2007 Pleiades Publishing, Ltd.
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页码：S12 / S34
页数：22
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