Irreducible representations of the alternating group in odd characteristic

被引：22

作者：

Ford, B ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT MATH,SEATTLE,WA 98195

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 02期

关键词：

D O I：

10.1090/S0002-9939-97-03621-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the recently-proved conjecture of Mullineux to determine which modular irreducible representations of the symmetric group Sigma(n) split on restriction to A(n), and which remain irreducible (everything taking place over a splitting field for A(n) of characteristic p > 2). An indexing of the absolutely irreducible representations of A(n) is thus obtained. A modular analogue of the Frobenius symbol for a partition is introduced, which makes the Mullineux map somewhat more intuitive.

引用

页码：375 / 380

页数：6