Research output: Contribution to journal › Article › peer-review

**Simple modules for the partition algebra and monotone convergence of kronecker coefficients.** / Visscher, Maud De; Enyang, John; Bowman-Scargill, Chris.

Research output: Contribution to journal › Article › peer-review

Visscher, MD, Enyang, J & Bowman-Scargill, C 2019, 'Simple modules for the partition algebra and monotone convergence of kronecker coefficients', *International Mathematics Research Notices*, vol. 2019, no. 4, pp. 1059-1097. https://doi.org/10.1093/imrn/rnx095

Visscher, M. D., Enyang, J., & Bowman-Scargill, C. (2019). Simple modules for the partition algebra and monotone convergence of kronecker coefficients. *International Mathematics Research Notices*, *2019*(4), 1059-1097. https://doi.org/10.1093/imrn/rnx095

Visscher MD, Enyang J, Bowman-Scargill C. Simple modules for the partition algebra and monotone convergence of kronecker coefficients. International Mathematics Research Notices. 2019 Feb 1;2019(4):1059-1097. https://doi.org/10.1093/imrn/rnx095

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title = "Simple modules for the partition algebra and monotone convergence of kronecker coefficients",

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.",

author = "Visscher, {Maud De} and John Enyang and Chris Bowman-Scargill",

note = "Funding Information: The authors are grateful for the financial support received from the Royal Commission for the Funding Information: Exhibition of 1851 and EPSRC grant EP/L01078X/1. Publisher Copyright: {\textcopyright} The Author(s) 2017. ",

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