Hochschild Cohomology and the Derived Class of M-Cluster Tilted Algebras of Type A
Juan Carlos Bustamante, Viviana Gubitosi
TL;DR
This paper classifies all finite dimensional algebras that are derived equivalent to m-cluster tilted algebras of type A, providing a comprehensive understanding of their derived categories.
Contribution
It offers a complete classification of algebras derived equivalent to m-cluster tilted algebras of type A, expanding the understanding of their structure and relationships.
Findings
Complete classification of derived equivalent algebras
Identification of invariants distinguishing classes
Extension of known results to m-cluster tilted algebras
Abstract
We classify all finite dimensional algebras which are derived equivalent to m-cluster tilted algebras of type A.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research