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Graded cellular basis and Jucys-Murphy elements for generalized blob algebras (1812.11143v3)
Published 28 Dec 2018 in math.RT and math.QA
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.