Irreducible characters with equal roots in the groups Sn and An

被引：8

作者：

Belonogov, V. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia

来源：

ALGEBRA AND LOGIC | 2007年 / 46卷 / 01期

基金：

中国国家自然科学基金; 俄罗斯基础研究基金会;

关键词：

group; irreducible character; Young diagram;

D O I：

10.1007/s10469-007-0001-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that treating of (non-trivial) pairs of irreducible characters of the group S-n sharing the same set of roots on one of the sets A(n) and S-n \ A(n) is divided into three parts. This, in particular, implies that any pair of such characters chi(alpha) and chi(beta) (alpha and beta are respective partitions of a number n) possesses the following property: lengths d(alpha) and d(beta) of principal diagonals of Young diagrams for alpha and beta differ by at most 1.

引用

页码：1 / 15

页数：15

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