DEGREES OF IRREDUCIBLE CHARACTERS OF THE SYMMETRIC GROUP AND EXPONENTIAL GROWTH

被引：1

作者：

Giambruno, Antonio ^{[1
]}

Mishchenko, Sergey ^{[2
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

[2] Ulyanovsk State Univ, Dept Algebra & Geometr Computat, Ulyanovsk 432017, Russia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 03期

关键词：

Symmetric group; character; exponential growth; PI ALGEBRAS; LIE; REPRESENTATIONS; VARIETIES;

D O I：

10.1090/proc/12758

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider sequences of degrees of ordinary irreducible S-n-characters. We assume that the corresponding Young diagrams have rows and columns bounded by some linear function of n with leading coefficient less than one. We show that any such sequence has at least exponential growth and we compute an explicit bound.

引用

页码：943 / 953

页数：11

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