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Cellularity and Jones basic construction

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.

Identiferoai:union.ndltd.org:uiowa.edu/oai:ir.uiowa.edu:etd-1477
Date01 July 2009
CreatorsGraber, John Eric
ContributorsGoodman, Frederick M.
PublisherUniversity of Iowa
Source SetsUniversity of Iowa
LanguageEnglish
Detected LanguageEnglish
Typedissertation
Formatapplication/pdf
SourceTheses and Dissertations
RightsCopyright 2009 John Eric Graber

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