Some new decomposable Specht modules

Details Some new decomposable Specht modules Some new decomposable Specht modules

2011-10-03

arxiv.org/abs/1110.0296v3

J. Algebra 357 (2012) 235-262

Mathematics

Representation Theory

Scientific paper

10.1016/j.jalgebra.2012.01.035

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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