Reducible Specht modules

被引:17
作者
Fayers, M [1 ]
机构
[1] Magdalene Coll, Cambridge CB3 0AG, England
关键词
D O I
10.1016/j.jalgebra.2003.09.053
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
James and Mathas conjecture a criterion for the Specht module S-lambda for the symmetric group to be irreducible over a field of prime characteristic. We extend a result of Lyle to prove this conjecture in one direction; our techniques are elementary. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:500 / 504
页数:5
相关论文
共 6 条
[1]  
[Anonymous], 1999, U LECT SER
[2]   Row and column removal theorems for homomorphisms between Specht modules [J].
Fayers, M ;
Lyle, S .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2003, 185 (1-3) :147-164
[3]   The irreducible Specht modules in characteristic 2 [J].
James, G ;
Mathas, A .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 :457-462
[4]  
James G. D., 1978, REPRESENTATION THEOR, V682
[5]  
JAMES GD, 1976, J ALGEBRA, V43, P45, DOI 10.1016/0021-8693(76)90143-5
[6]   Some reducible Specht modules [J].
Lyle, S .
JOURNAL OF ALGEBRA, 2003, 269 (02) :536-543