University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Garnir relations and Dyck tilings

Garnir relations and Dyck tilings

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  • UserMatt Fayers, QMUL
  • ClockWednesday 25 February 2015, 16:30-17:30
  • HouseMR12.

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

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.

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

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