Decompositions of some Specht modules I
Representation Theory
2023-02-01 v2
Abstract
We give a decomposition as a direct sum of indecomposable modules of several types of Specht modules in characteristic . These include the Specht modules labelled by hooks, whose decomposability was considered by Murphy. Since the main arguments are essentially no more difficult for Hecke algebras at parameter , we proceed in this level of generality.
Keywords
Cite
@article{arxiv.1810.10275,
title = {Decompositions of some Specht modules I},
author = {Stephen Donkin and Haralampos Geranios},
journal= {arXiv preprint arXiv:1810.10275},
year = {2023}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:1704.02413, arXiv:1704.02416