Endomorphism algebras of 2-row permutation modules in characteristic 3

JOURNAL OF ALGEBRA

卷:542

Article

Kochhar, Jasdeep¹ 

[1] Royal Holloway Univ London, Dept Math, London, England

关键词: Permutation modules;    Schur algebra;    Endomorphism algebras;    Primitive idempotents;   

DOI  :  10.1016/j.jalgebra.2019.09.024

来源: Elsevier

【 摘 要 】

Given tau is an element of N, let lambda be a partition of r with at most two parts. Let F be a field of characteristic 3. Write M(lambda )for the FS tau-permutation module corresponding to the action of the symmetric group S-r on the cosets of the maximal Young subgroup S-lambda. We construct a full set of central primitive idempotents in End(FS tau)(M-lambda) in this case. We also determine the Young module corresponding to each primitive idempotent that we construct. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free