Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras

Salim Rostam

Published 2016-03-12Version 1

We prove that cyclotomic Yokonuma-Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras. The quiver we use is given by disjoint copies of cyclic quivers.