Abstract

We give a concrete construction of a graded cellular basis for the generalized blob algebra B-n introduced by Martin and Woodcock. The construction uses the isomorphism between KLR-algebras and cyclotomic Hecke algebras, proved by Brundan-Kleshchev and Rouquier. It gives rise to a family of Jucys-Murphy elements for B-n. (C) 2019 Elsevier B.V. All rights reserved.