#### Vol. 304, No. 2, 2020

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Decomposable Specht modules indexed by bihooks

### Liron Speyer and Louise Sutton

Vol. 304 (2020), No. 2, 655–711
##### Abstract

We study the decomposability of Specht modules labeled by bihooks, bipartitions with a hook in each component, for the Iwahori–Hecke algebra of type $B$. 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 $n$.

##### Keywords
decomposable Specht modules, KLR algebras, quiver Hecke algebras, Specht modules, Hecke algebras
##### Mathematical Subject Classification 2010
Primary: 20C30, 20C08, 05E10