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) (KAR id:63860)

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Official URL: https://doi.org/10.1016/j.jalgebra.2017.09.030

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:	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:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	Organisations -1 not found.
Depositing User:	Rowena Paget
Date Deposited:	06 Oct 2017 08:31 UTC
Last Modified:	05 Nov 2024 10:59 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/63860 (The current URI for this page, for reference purposes)

University of Kent Author Information

Green, Reuben Mark.

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Paget, Rowena E..

Creator's ORCID:	https://orcid.org/0000-0001-8088-4421
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