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

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, doi: 10.1093/irmn/rnx095

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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
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, will be available available online at: http://imrn.oxfordjournals.org/
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/17562

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