Special Biserial Cluster-tilted Algebras
Fedra Babaei, Yvonne Grimeland
TL;DR
This paper provides a comprehensive classification of special biserial cluster-tilted algebras arising from finite dimensional hereditary algebras over algebraically closed fields.
Contribution
It offers a complete description of all such algebras, filling a gap in the understanding of their structure and classification.
Findings
Complete classification of special biserial cluster-tilted algebras
Description of their structural properties
Identification of conditions for their existence
Abstract
We give a complete description of all special biserial cluster-tilted algebras over a finite dimensional hereditary algebra H over an algebraically closed field K.
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