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

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

In: International Mathematics Research Notices, Vol. 2019, No. 4, 01.02.2019, p. 1059-1097.

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Harvard

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

APA

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

Vancouver

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

Author

Visscher, Maud De ; Enyang, John ; Bowman-Scargill, Chris. / Simple modules for the partition algebra and monotone convergence of kronecker coefficients. In: International Mathematics Research Notices. 2019 ; Vol. 2019, No. 4. pp. 1059-1097.

Bibtex - Download

@article{e538fb2aca224345a8732e1d08f3b9d5,
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. ",
year = "2019",
month = feb,
day = "1",
doi = "10.1093/imrn/rnx095",
language = "English",
volume = "2019",
pages = "1059--1097",
journal = "International Mathematics Research Notices",
issn = "1687-0247",
publisher = "Oxford University Press",
number = "4",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Simple modules for the partition algebra and monotone convergence of kronecker coefficients

AU - Visscher, Maud De

AU - Enyang, John

AU - Bowman-Scargill, Chris

N1 - 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: © The Author(s) 2017.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

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U2 - 10.1093/imrn/rnx095

DO - 10.1093/imrn/rnx095

M3 - Article

AN - SCOPUS:85040751875

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SP - 1059

EP - 1097

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1687-0247

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