Graded cellular basis and Jucys-Murphy elements for generalized blob algebras
Representation Theory
2019-11-11 v3 Quantum Algebra
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.
Cite
@article{arxiv.1812.11143,
title = {Graded cellular basis and Jucys-Murphy elements for generalized blob algebras},
author = {Diego Lobos and Steen Ryom-Hansen},
journal= {arXiv preprint arXiv:1812.11143},
year = {2019}
}
Comments
35 pages. Final version, to appear in Journal of Pure and Applied Algebra