The Self-injective Cluster Tilted Algebras
Claus Michael Ringel
TL;DR
This paper classifies all self-injective cluster tilted algebras, showing they are finite representation type and special biserial, contributing to the understanding of their structure and properties.
Contribution
It provides a complete classification of self-injective cluster tilted algebras, identifying their finite representation type and special biserial nature.
Findings
All self-injective cluster tilted algebras are of finite representation type.
They are characterized as special biserial.
The classification completes the understanding of their structural properties.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons