Dissertation/Thesis Abstract

Cellularity and the Jones basic construction
by Graber, John Eric, Ph.D., The University of Iowa, 2009, 97; 3368950
Abstract (Summary)

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.

Indexing (document details)
Advisor: Goodman, Frederick M.
Commitee: Anderson, Dan, Frohman, Charles, Hourcade, Juan P., Tymoczko, Julianna
School: The University of Iowa
Department: Mathematics
School Location: United States -- Iowa
Source: DAI-B 70/08, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Basic construction, Cellularity, Cyclotomic BMW algebra, Cyclotomic Hecke algebra, Jones basic construction
Publication Number: 3368950
ISBN: 978-1-109-30342-1
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