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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. (KAR id:54749)

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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: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Users 1 not found.
Date Deposited: 31 Mar 2016 09:26 UTC
Last Modified: 16 Feb 2021 13:34 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/54749 (The current URI for this page, for reference purposes)
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