Date of Degree
2009
Document Type
dissertation
Degree Name
PhD (Doctor of Philosophy)
Department
Mathematics
First Advisor
Frederick M. Goodman
Abstract
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.
Pages
v,88
Bibliography
84-88
Copyright
Copyright 2009 John Eric Graber
Recommended Citation
Graber, John Eric. "Cellularity and Jones basic construction." dissertation, University of Iowa, 2009.
http://ir.uiowa.edu/etd/292.