Webs and canonical bases in degree two

2022/02/02 by Chris Fraser, Fraser, Chris · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2202.01310

openalex publication_date 2022/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Twists, Higher Dimer Covers, and Web Duality for Grassmannian Cluster Algebras

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