On Homomorphisms Indexed by Semistandard Tableaux

被引：0
作者：
Sinéad Lyle
机构：
[1] University of East Anglia,School of Mathematics
来源：
Algebras and Representation Theory | 2013年 / 16卷
关键词：
Hecke algebras; Specht modules; Homomorphisms; 20C08; 20C30; 05E10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe techniques which may be used to compute the homomorphism space between Specht modules for the Hecke algebras of type A. We prove a q-analogue of a result of Fayers and Martin and show how it may be applied to construct homomorphisms between Specht modules. In particular, we show that in certain cases the dimension of the homomorphism space is given by the corank of a matrix whose entries we write down explicitly.
引用
收藏
页码：1409 / 1447
页数：38
相关论文
共 18 条
[1]  
Dipper R(1986)Representations of Hecke algebras of general linear groups Proc. Lond. Math. Soc. 52 20-52
[2]  
James G(1991)-Tensor space and Trans. Am. Math. Soc. 327 251-282
[3]  
Dipper R(2012)-Weyl modules J. Algebra 364 38-51
[4]  
James G(2012)Some new decomposable Specht modules J. Algebra 306 175-190
[5]  
Dodge C(2006)An algorithm for semistandardising homomorphisms J. Algebra 248 395-421
[6]  
Fayers M(2004)-restriction of partitions and homomorphisms between Specht modules Math. Z. 123 1-34
[7]  
Fayers M(1996)Homomorphisms between Specht modules Invent. Math 608 93-121
[8]  
Fayers M(2007)Cellular algebras J. Reine Angew. Math. 22 151-179
[9]  
Lyle S(2005)Some J. Algebr. Comb. 173 97-121
[10]  
Martin S(1995)-analogues of the Carter–Payne theorem J. Algebra undefined undefined-undefined
12