On the Galois coverings of a cluster-tilted algebra
Ibrahim Assem, Thomas Bruestle, Ralf Schiffler
TL;DR
This paper investigates the module categories of Galois coverings of cluster-tilted algebras, introducing the cluster repetitive algebra and comparing it with the repetitive algebra of a tilted algebra.
Contribution
It introduces the cluster repetitive algebra and establishes a comparison with the repetitive algebra, advancing understanding of Galois coverings in cluster-tilted algebras.
Findings
Module category of the cluster repetitive algebra is studied.
Comparison established between cluster repetitive algebra and repetitive algebra.
Provides new insights into Galois coverings of cluster-tilted algebras.
Abstract
We study the module category of a certain Galois covering of a cluster-tilted algebra which we call the cluster repetitive algebra. Our main result compares the module categories of the cluster repetitive algebra of a tilted algebra C and the repetitive algebra of C, in the sense of Hughes and Waschbuesch.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons