Cellular Structure of Wreath Product Algebras

Green, Reuben (2019) Cellular Structure of Wreath Product Algebras. Journal of Pure and Applied Algebra, 224 (2). pp. 819-835. ISSN 0022-4049. (doi:10.1016/j.jpaa.2019.06.012) (KAR id:74555)

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Official URL: http://dx.doi.org/10.1016/j.jpaa.2019.06.012

Abstract

We apply the method of iterated inflations to show that the wreath product of a cellular algebra with a symmetric group is cellular, and obtain descriptions of the cell and simple modules together with a semisimplicity condition for such wreath products.

Item Type:	Article
DOI/Identification number:	10.1016/j.jpaa.2019.06.012
Uncontrolled keywords:	wreath products, cellular algebras, iterated inflation
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	R.M. Green
Date Deposited:	24 Jun 2019 15:52 UTC
Last Modified:	22 Jul 2025 09:00 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/74555 (The current URI for this page, for reference purposes)

University of Kent Author Information

Green, Reuben.

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