Speaker: Salim Rostam (Versailles)
Title: Looking for a Cyclotomic Quiver Hecke Algebra Presentation for the Hecke Algebra of G(r,p,n)
Abstract:
The Hecke algebra of G(r,1,n), also known as Ariki-Koike algebra, is isomorphic to a cyclotomic quiver Hecke algebra R, whose underlying quiver is given by copies of cyclic quivers. Using a particular automorphism of the quiver and restricting the previous isomorphism to the Hecke algebra of G(r,p,n), we find a presentation of the corresponding subalgebra of R. The presentation we get looks like the presentation of R.