REVIEW
Simple modules for the partition algebra and monotone convergence of Kronecker coefficients
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
classification
math.RTmath.CO
keywords
modulespartitionalgebracoefficientsconvergencekroneckermonotonesimple
Signed reviews
read the original 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.
Discussion (0). Continue with ORCID to comment.