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math.RT2009
On Cellular Algebras with Jucys Murphy Elements
Frederick M. Goodman, John Graber
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 anal…
math.RT2009
Cellularity and the Jones basic construction
Frederick M. Goodman, John Graber
We establish a framework for cellularity of algebras related to the Jones basic construction. Our framework allows a uniform proof of cellularity of Brauer algebras, ordinary and c…