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Iterated Inflations of Cellular Algebras

Green, Reuben Mark, Paget, Rowena E. (2017) Iterated Inflations of Cellular Algebras. Journal of Algebra, 493 . pp. 341-345. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2017.09.030)

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Abstract

We present a result characterising iterated inflations of cellular algebras, derived from the work of König and Xi. This result is intended to replace an incorrect proposition in the literature, and gives explicit and readily checked conditions which establish that an algebra is an iterated inflation of cellular algebras, and hence is cellular, with cellular data directly related to the cellular data of the constituent cellular algebras.

Item Type: Article
DOI/Identification number: 10.1016/j.jalgebra.2017.09.030
Projects: [UNSPECIFIED] EP/M508068/1
Uncontrolled keywords: Cellular algebra, iterated inflation
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Rowena E Paget
Date Deposited: 06 Oct 2017 08:31 UTC
Last Modified: 11 Jul 2019 13:16 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/63860 (The current URI for this page, for reference purposes)
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