Identities for Schur-type determinants and pfaffians
Combinatorics
2021-03-31 v1
Abstract
We give a simple formula for some determinants, and an analogous formula for pfaffians, both of which are polynomial identities. The second involve some expressions that interpolate between determinants and pfaffians. We give several tableau formulas for difference operators in Types A and C, as well as other operators that appear in the "enriched", or "back-stable" Schubert polynomials. There are also tableau formulas for the enriched Schubert polynomials for vexillary and -avoiding permutations.
Cite
@article{arxiv.2103.16505,
title = {Identities for Schur-type determinants and pfaffians},
author = {David Anderson and William Fulton},
journal= {arXiv preprint arXiv:2103.16505},
year = {2021}
}
Comments
21 pages, 1 color figure