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arXiv · 1808.00949

Decomposable Specht modules indexed by bihooks

Liron Speyer·Louise Sutton
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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 $B$. 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 $n$.

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BibTeXRIS

Liron Speyer, Louise Sutton. 2018-08-02. Decomposable Specht modules indexed by bihooks. https://doi.org/10.2140/pjm.2020.304.655

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