Garnir relations and Dyck tilings
- 👤 Speaker: Matt Fayers, QMUL
- 📅 Date & Time: Wednesday 25 February 2015, 16:30 - 17:30
- 📍 Venue: MR12
Abstract
Recently the study of the representation theory of the symmetric group has been revolutionised by the discovery that the group algebra is isomorphic to a “cyclotomic quiver Hecke algebra”, which shows in particular that this algebra is graded. Kleshchev, Mathas and Ram have given a homogeneous presentation for any Specht module for the symmetric group. The relations in this presentation 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.
Series This talk is part of the Algebra and Representation Theory Seminar series.
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Matt Fayers, QMUL
Wednesday 25 February 2015, 16:30-17:30