Graded cellular basis and Jucys-Murphy elements for generalized blob algebras
arXiv:1812.11143
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.
35 pages. Final version, to appear in Journal of Pure and Applied Algebra