Work

Landau–Ginzburg potentials via projective representations

Year: 2024

Type: article

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 finite-dimensional projective and the finite-dimensional injective representations of Jacobian algebras are well behaved under Derksen–Weyman–Zelevinsky’s mutations of representations.

Source: Journal of Combinatorial Algebra

DOI: 10.4171/jca/98

Authors: Daniel Labardini-Fragoso, Bea de Laporte

Institutions: Universidad Nacional Autónoma de México, University of Cologne

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402578434

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