Regularisation, homomorphisms and irreducible Specht modules

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• Matthew Fayers (Queen Mary)
• Wednesday 07 November 2012, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Christopher Brookes.

The question of which ordinary irreducible representations of the symmetric group remain irreducible in characteristic 2 was solved ten years ago by James and Mathas. Here we consider the generalisation to the Hecke algebra of type A, with q=-1, which continues to resist attempts at a solution. We present a conjecture, and describe work in progress aimed at a proof; this involves realising homomorphisms between Specht modules using the Khovanov-Lauda-Rouquier framework for Hecke algebras.

This talk is part of the Algebra and Representation Theory Seminar series.

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