University of Birmingham > Talks@bham > Algebra Seminar > Garnir relations and Dyck tilings

Garnir relations and Dyck tilings

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If you have a question about this talk, please contact David Craven.

Conference: Representations of Symmetric Groups, Hecke Algebras and KLR Algebras

Kleshchev, Mathas and Ram have given a homogeneous presentation for any Specht module for a KLR algebra in type A. The relations include ‘homogeneous Garnir relations’, which appear in a slightly nebulous (and inefficient) form. I’ll describe what happens when the Garnir relations are re-written in terms of standard generators; as we’ll see, some interesting combinatorics related to Dyck tilings comes into play.

This talk is part of the Algebra Seminar series.

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