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

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.

UR - http://www.scopus.com/inward/record.url?scp=85040751875&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnx095

DO - 10.1093/imrn/rnx095

M3 - Article

AN - SCOPUS:85040751875

SN - 1687-0247

VL - 2019

SP - 1059

EP - 1097

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 4

ER -