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.
Original language | English |
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Pages (from-to) | 1059-1097 |
Number of pages | 39 |
Journal | International Mathematics Research Notices |
Volume | 2019 |
Issue number | 4 |
Early online date | 11 Jul 2017 |
DOIs | |
Publication status | Published - 1 Feb 2019 |
Bibliographical 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:
© The Author(s) 2017.