Webs and canonical bases in degree two
arXiv:2202.01310
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.
Improved exposition via referee feedback; corrected proof of Lemma 6.7