Representation Dimension of Cluster Concealed Algebras
Alfredo Gonzalez Chaio, Sonia Trepode
TL;DR
This paper proves that the representation dimension of cluster-concealed algebras is 3 by explicitly constructing an Auslander generator, advancing understanding of their representation-theoretic properties.
Contribution
It provides the first explicit construction of an Auslander generator for cluster-tilted algebras, establishing their representation dimension as 3.
Findings
Representation dimension of cluster-concealed algebras is 3
Explicit Auslander generator constructed for cluster-tilted algebra
Enhances understanding of algebra's representation theory
Abstract
We are going to show that the representation dimension of a cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons