On wildness of idempotent generated algebras associated with extended Dynkin diagrams

• Date: 2018
• Main Author: Bondarenko, Vitalij M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: idempotent; extended Dynkin diagram; representation; wild type; 16G60; 15A21; 46K10; 46L05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/995
• Journal Title: Algebra and Discrete Mathematics

Let \(\Lambda\) denote an extended Dynkin diagram with vertex set \(\Lambda_0=\{0,1,\ldots, n\}\). For a vertex \(i\), denote by \(S(i)\) the set of vertices \(j\) such that there is an edge joining \(i\) and \(j\); one assumes  the diagram has a unique vertex \(p\), say \(p=0\), with \(|S(p)|=3\)....