Skip to main content

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, . ISSN 1687-0247. E-ISSN 1687-0247. (doi:10.1093/imrn/rnx095)

PDF - Author's Accepted Manuscript
Download (416kB) Preview
[img]
Preview
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
Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Christopher Bowman
Date Deposited: 31 May 2017 08:11 UTC
Last Modified: 29 May 2019 19:06 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/61892 (The current URI for this page, for reference purposes)
Bowman, Christopher: https://orcid.org/0000-0001-6046-8930
  • Depositors only (login required):

Downloads

Downloads per month over past year