Decomposable Specht modules indexed by bihooks
arXiv:1808.00949 · doi:10.2140/pjm.2020.304.655
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 .
46 pages. Final version to appear in Pacific Journal of Mathematics