An affine generalization of evacuation
Combinatorics
2022-06-17 v1
Abstract
We establish the existence of an involution on tabloids that is analogous to Schutzenberger's evacuation map on standard Young tableaux. We find that the number of its fixed points is given by evaluating a certain Green's polynomial at , and satisfies a "domino-like" recurrence relation.
Cite
@article{arxiv.1806.07429,
title = {An affine generalization of evacuation},
author = {M. Chmutov and G. Frieden and D. Kim and J. B. Lewis and E. Yudovina},
journal= {arXiv preprint arXiv:1806.07429},
year = {2022}
}
Comments
32 pages, 7 figures