Polynomial representations;
General linear groups;
Symmetric groups;
Hecke algebras;
Decomposable Specht modules;
D O I:
10.1016/j.jalgebra.2019.12.017
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We give a decomposition, as a direct sum of indecomposable modules, of several types of Specht modules in characteristic 2. These include the Specht modules labelled by hooks, whose decomposability was considered by Murphy, [15]. Since the main arguments are essentially no more difficult for Hecke algebras at parameter q = -1, we proceed in this generality. Crown Copyright (C) 2020 Published by Elsevier Inc. All rights reserved.
机构:
Nanyang Technol Univ, Div Math Sci, SPMS MAS 05-84,21 Nanyang Link, Singapore 637371, SingaporeNanyang Technol Univ, Div Math Sci, SPMS MAS 05-84,21 Nanyang Link, Singapore 637371, Singapore
机构:
Queen Mary Univ London, Mile End Rd, London E1 4NS, England
Natl Univ Singapore, 10 Lower Kent Ridge Rd, Singapore 119076, SingaporeQueen Mary Univ London, Mile End Rd, London E1 4NS, England