Identities for vacillating tableaux via growth diagrams
Combinatorics
2026-01-05 v2
Abstract
We give bijective proofs using Fomin's growth diagrams for identities involving numbers of vacillating tableaux that arose in the representation theory of partition algebras or are inspired by such identities.
Cite
@article{arxiv.2304.07657,
title = {Identities for vacillating tableaux via growth diagrams},
author = {Christian Krattenthaler},
journal= {arXiv preprint arXiv:2304.07657},
year = {2026}
}
Comments
AmS-TeX; 24 pages. Error in (1.4) corrected. arXiv admin note: text overlap with arXiv:1412.5646