The Self-injective Cluster Tilted Algebras

2007/05/26 by Claus Michael Ringel, Ringel, Claus Michael · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0705.3903

Abstract

We are going to determine all the self-injective cluster tilted algebras. All are of finite representation type and special biserial.

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Related

• Tilting theory and cluster algebras
• Derived class of m-cluster tilted algebras of type A tilde
• Cluster-tilted algebras without clusters
• Special Biserial Cluster-tilted Algebras
• From tilted to cluster-tilted algebras of Dynkin type