On the Endomorphism Algebra of Specht Modules in Even Characteristic
Representation Theory
2023-09-12 v2
Abstract
Over fields of characteristic , Specht modules may decompose and there is no upper bound for the dimension of their endomorphism algebra. A classification of the (in)decomposable Specht modules and a closed formula for the dimension of their endomorphism algebra remain two important open problems in the area. In this paper, we introduce a novel description of the endomorphism algebra of the Specht modules and provide infinite families of Specht modules with one-dimensional endomorphism algebra.
Keywords
Cite
@article{arxiv.2301.12582,
title = {On the Endomorphism Algebra of Specht Modules in Even Characteristic},
author = {Haralampos Geranios and Adam Higgins},
journal= {arXiv preprint arXiv:2301.12582},
year = {2023}
}
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23 pages