We give the first example of a non-trivial cluster tilting module over 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.
No takes yet. Share an insight, caveat, or question.
Marczinzik et al. (2026) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: