Simple Modules for the Partition Algebra and Monotone Convergence of Kronecker Coefficients

Bowman, Christopher, De Visscher, DE., Enyang, J. (2017) Simple Modules for the Partition Algebra and Monotone Convergence of Kronecker Coefficients. International Mathematics Research Notices, 2019 (4). pp. 1059-1097. ISSN 1687-0247. E-ISSN 1687-0247. (doi:10.1093/imrn/rnx095) (KAR id:61892)

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Official URL: https://doi.org/10.1093/imrn/rnx095

Abstract

We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) of the monotone convergence property for Kronecker coefficients using stratifications of the cell modules of the partition algebra

Item Type:	Article
DOI/Identification number:	10.1093/imrn/rnx095
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:	Christopher Bowman
Date Deposited:	31 May 2017 08:11 UTC
Last Modified:	05 Nov 2024 10:56 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/61892 (The current URI for this page, for reference purposes)

University of Kent Author Information

Bowman, Christopher.

Creator's ORCID:	https://orcid.org/0000-0001-6046-8930
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