Webs and canonical bases in degree two
Combinatorics
2023-12-20 v2 Representation Theory
Abstract
We show that Lusztig's canonical basis for the degree two part of the Grassmannian coordinate ring is given by SL(k) web diagrams. Equivalently, we show that every SL(2) web immanant of a plabic graph for Gr(k,n) is an SL(k) web invariant.
Keywords
Cite
@article{arxiv.2202.01310,
title = {Webs and canonical bases in degree two},
author = {Chris Fraser},
journal= {arXiv preprint arXiv:2202.01310},
year = {2023}
}
Comments
Improved exposition via referee feedback; corrected proof of Lemma 6.7