Landau-Ginzburg potentials via projective representations

2022/07/29 by Labardini-Fragoso, Daniel, Schumann, Bea · 1 citation
#13F60 #14M15 #14M25 #16E20 #52B20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2208.00028

Abstract

We interpret the Landau-Ginzburg potentials associated to Gross-Hacking-Keel-Kontsevich's partial compactifications of cluster varieties as F-polynomials of projective representations of Jacobian algebras. Along the way, we show that both the projective and the injective representations of Jacobi-finite quivers with potential are well-behaved under Derksen-Weyman-Zelevinsky's mutations of representations.

Cited by

• Derksen-Weyman-Zelevinsky mutations of infinite-dimensional modules I: Foundations

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