University of Sydney Algebra Seminar

Salim Rostam (Université de Versailles Saint-Quentin-en-Yvelines)

Friday 4 August, 12-1pm, Place: Carslaw 375

A KLR-like presentation for the Hecke algebra of \(G(r,p,n)\)

The Hecke algebra of \(G(r,p,n)\) can be seen as the fixed point subalgebra of the Hecke algebra of \(G(r,1,n)\) (also known as the Ariki-Koike algebra) for a certain automorphism \(\sigma\). Using an isomorphism of Brundan and Kleshchev with a KLR algebra, we find an analogue of \(\sigma\) defined from the KLR presentation. Moreover, it turns out that we can give a KLR-like presentation of the fixed point subalgebra.