Cluster tilting modules for local algebras (2505.12915v1)

Published 19 May 2025 in math.RT

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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