On wildness of idempotent generated algebras associated with extended Dynkin diagrams

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Bondarenko, V.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156457
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On wildness of idempotent generated algebras associated with extended Dynkin diagrams / V.M. Bondarenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 1–11. — Бібліогр.: 4 назв. — англ.

Let Λ denote an extended Dynkin diagram with vertex set Λ0 = {0, 1,... ,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. Further, denote by Λ \ 0 the full subgraph of Λ...