The University of Sydney
School of Mathematics and Statistics  
Algebra Seminar  
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University of Sydney Algebra Seminar

Sinéad Lyle (University of Sydney)

Friday 11th March, 12.05-12.55pm, Carslaw 275

Reducible Specht modules for Hecke algebras of type A

Let F be a field, q an invertible element of F and Sn the symmetric group on n letters and let h = hF,q(Sn) be the corresponding Hecke algebra. For each partition lambda of n, we define an h-module Slambda known as a Specht module; when h is semisimple the set {Slambda} where lambda is a partition of n gives a complete set of pairwise non-isomorphic irreducible h-modules. A simple question is to assume h is not semisimple and ask which Specht modules are reducible. This question has recently been answered whenever q is not -1. We talk, with some digressions, through some of the methods used.