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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.
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