# Cellularity and the Jones Basic Construction

Algebra/Geometry/Topology Seminar

#### by Fred Goodman

Institution: University of Iowa, USA
Date: Mon 23rd August 2010
Time: 2:00 PM
Location: Old Arts Theatre B, The University of Melbourne

Abstract: We describe 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 cyclotomic BMW algebras, and numerous other examples Our cellular bases are labeled by paths on certain branching diagrams rather than by tangles. Moreover, the cellular structures are compatible with restriction and induction of modules. In many examples, the framework allows an efficient treatment of Jucys-Murphy elements in BMW like" algebras.