Title: Cellularity and the Jones Basic Construction
Speaker: Fred Goodman (Iowa)
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.