Document Type

Dissertation

Date of Degree

Summer 2009

Degree Name

PhD (Doctor of Philosophy)

Degree In

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.

Keywords

Basic Construction, Cellularity, Cyclotomic BMW Algebra, Cyclotomic Hecke Algebra, Jones

Pages

v,88 pages

Bibliography

Includes bibliographical references (pages 84-88).

Copyright

Copyright 2009 John Eric Graber

Included in

Mathematics Commons

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