On the representation type of Jordan basic algebras

• Date: 2017
• Main Authors: Kashuba, Iryna, Ovsienko, Serge, Shestakov, Ivan
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2017
• Subjects: Jordan algebra; Jordan bimodule; Representation type; Quiver of an algebra; 16G60; 17C55; 17C99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/443
• Journal Title: Algebra and Discrete Mathematics

A finite dimensional Jordan algebra \(J\) over a field \({\bf k}\) is called \textit{basic} if the quotient algebra \(J/{\rm Rad} J\) is isomorphic to a direct sum of copies of \({\bf k}\).We describe all basic Jordan algebras \(J\) with \(({\rm Rad} J)^2=0\) of finite and tame representation type o...