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Simple modules for the partition algebra and monotone convergence of Kronecker coefficients

Bowman, C., De Visscher, M. and Enyang, J. (2017). Simple modules for the partition algebra and monotone convergence of Kronecker coefficients. International Mathematics Research Notices, doi: 10.1093/irmn/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.

Publication Type: Article
Additional Information: This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Bowman, C., De Visscher, M. & Enyang, J. (2017). Simple modules for the partition algebra and monotone convergence of Kronecker coefficients. International Mathematics Research Notices, 2017, is available available online at: https://doi.org/10.1093/imrn/rnx095
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/17562
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