Work

Minimal presentations of finite-dimensional representations of pseudocompact algebras

Year: 2026

Type: preprint

Abstract: We give a general formula for minimal projective presentations and for minimal discrete-injective presentations of finite-dimensional modules over basic pseudocompact algebras. We also show that the representation-theoretic g-vector of a module coincides with its DWZ-g-vector. These results generalize the description that Derksen, Weyman and Zelevinsky gave of minimal projective presentations for modules over certain finite-dimensional Jacobian algebras. In particular, we can drop their finiteness assumption, and we may work over fields of arbitrary characteristic.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.18805

Authors: Geiss, Christof, Hartung, Carolin, Labardini-Fragoso, Daniel, Schröer, Jan

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fondazione Cassa di Risparmio di Padova e Rovigo, Deutsche Forschungsgemeinschaft, Università degli Studi di Padova

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G6132893783, G8847963564

OpenAlex ID: W7221801108

Cites: 1

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Related to: 10