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Simple modules for the partition algebra and monotone convergence of kronecker coefficients
Research output: Contribution to journal › Article › peer-review
Author(s)
Department/unit(s)
Publication details
| Journal | International Mathematics Research Notices |
|---|---|
| Date | Accepted/In press - 6 Apr 2017 |
| Date | E-pub ahead of print - 11 Jul 2017 |
| Date | Published (current) - 1 Feb 2019 |
| Issue number | 4 |
| Volume | 2019 |
| Number of pages | 39 |
| Pages (from-to) | 1059-1097 |
| Early online date | 11/07/17 |
| Original language | English |
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.
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.
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