Date of Degree
PhD (Doctor of Philosophy)
Frederick M. Goodman
This thesis establishes a framework for cellularity of algebras related to the Jones basic construction. The framework allows a uniform proof of cellularity of Brauer algebras, BMW algebras, walled Brauer algebras, partition algebras, and others. In this setting, the cellular bases are labeled by paths on certain branching diagrams rather than by tangles. Moreover, for this class of algebras, the cellular structures are compatible with restriction and induction of modules.
Copyright 2009 John Eric Graber
Graber, John Eric. "Cellularity and Jones basic construction." dissertation, University of Iowa, 2009.