Finding a cluster-tilting object for a representation finite cluster-tilted algebra
Marco Angel Bertani-{\O}kland, Steffen Oppermann, Anette Wr{\aa}lsen
TL;DR
This paper introduces a method to identify a cluster-tilting object corresponding to a specific cluster-tilted algebra within finite type cases, aiding the understanding of their structure.
Contribution
It presents a novel technique for constructing cluster-tilting objects from given cluster-tilted algebras in finite type scenarios.
Findings
Method successfully finds cluster-tilting objects for given algebras
Enhances understanding of the relationship between cluster-tilting objects and algebras
Applicable specifically in finite type cases
Abstract
We provide a technique to find a cluster-tilting object having a given cluster-tilted algebra as endomorphism ring in the finite type case.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics