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arXiv · 1110.0296

Some new decomposable Specht modules

Craig J. Dodge·Matthew Fayers
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Abstract

We present (with proof) a new family of decomposable Specht modules for the symmetric group in characteristic 2. These Specht modules are labelled by partitions of the form $(a,3,1^b)$, and are the first new examples found for thirty years. Our method of proof is to exhibit summands isomorphic to irreducible Specht modules, by constructing explicit homomorphisms between Specht modules.

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BibTeXRIS

Craig J. Dodge, Matthew Fayers. 2013-03-13. Some new decomposable Specht modules. https://doi.org/10.1016/j.jalgebra.2012.01.035

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