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

**Authors:** Daniel Labardini Fragoso

arXiv: 2508.21757 · 2025-09-01

## TL;DR

This paper extends the mutation theory of quiver representations with potential from finite-dimensional to infinite-dimensional modules, establishing foundational concepts for this broader framework.

## Contribution

It introduces the foundational principles necessary for understanding mutations of infinite-dimensional modules in the context of quivers with potential.

## Key findings

- Generalization of mutation theory to infinite-dimensional modules
- Establishment of foundational concepts for the new framework
- Potential applications to broader representation theory

## Abstract

Derksen-Weyman-Zelevinsky's mutation theory of finite-dimensional representations of quivers with potential is generalized to the framework of infinite-dimensional modules.

## Full text

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## Figures

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## References

32 references — full list in the complete paper: https://tomesphere.com/paper/2508.21757/full.md

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Source: https://tomesphere.com/paper/2508.21757