On Cellular Algebras with Jucys Murphy Elements
Representation Theory
2010-11-16 v2 Quantum Algebra
Abstract
We study analogues of Jucys-Murphy elements in cellular algebras arising from repeated Jones basic constructions. Examples include Brauer and BMW algebras and their cyclotomic analogues.
Cite
@article{arxiv.0907.3459,
title = {On Cellular Algebras with Jucys Murphy Elements},
author = {Frederick M. Goodman and John Graber},
journal= {arXiv preprint arXiv:0907.3459},
year = {2010}
}
Comments
Improved and reorganized exposition. Some new results