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Webs and canonical bases in degree two

Published 2 Feb 2022 in math.CO and math.RT | (2202.01310v2)

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.

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