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The cellular structure of wreath product algebras

Green, Reuben Mark (2016) The cellular structure of wreath product algebras. Master of Science by Research (MScRes) thesis, University of Kent.

Abstract

We review the definitions and basic theory of cellular algebras as developed in the papers of Graham and Lehrer and of K ? onig and Xi. We then introduce a reformulation of the concept of an iterated inflation of cellular algebras (a concept due originally to K ?onig and Xi), which we use to show that the Brauer algebra is cellular (following the work of K ?onig and Xi). We then review the notion of the wreath product of an algebra with a symmetric group, and apply our work on iterated inflations to prove that the wreath product of a cellular algebra with a symmetric group is in all cases cellular, and we obtain a description of the cell modules of such a wreath product.

Item Type: Thesis (Master of Science by Research (MScRes))
Thesis advisor: Paget, Rowena
Uncontrolled keywords: Cellular algebra wreath product representation theory
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Users 1 not found.
Date Deposited: 31 Mar 2016 09:26 UTC
Last Modified: 29 May 2019 17:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/54749 (The current URI for this page, for reference purposes)
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