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arXiv · 2505.12915

Cluster tilting modules for local algebras

Rene Marczinzik·Daniel Owens
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Abstract

We give the first example of a non-trivial cluster tilting module in a local finite dimensional algebra. To do this, we give an explicit calculation of the corresponding higher Auslander algebra by quiver and relations using the GAP-package QPA. We discuss related problems and conjectures for local finite-dimensional algebras.

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Rene Marczinzik, Daniel Owens. 2025-05-19. Cluster tilting modules for local algebras. https://arxiv.org/abs/2505.12915

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