Decomposable Specht modules indexed by bihooks
Representation Theory
2020-02-12 v2
Abstract
We study the decomposability of Specht modules labelled by bihooks, bipartitions with a hook in each component, for the Iwahori--Hecke algebra of type . In all characteristics, we determine a large family of decomposable Specht modules, and conjecture that these provide a complete list of decomposable Specht modules indexed by bihooks. We prove the conjecture for small .
Keywords
Cite
@article{arxiv.1808.00949,
title = {Decomposable Specht modules indexed by bihooks},
author = {Liron Speyer and Louise Sutton},
journal= {arXiv preprint arXiv:1808.00949},
year = {2020}
}
Comments
46 pages. Final version to appear in Pacific Journal of Mathematics