On the representation type of Jordan basic algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• ISSN: 1726-3255
• Main Authors: Kashuba, I., Ovsienko, S., Shestakov, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155920
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the representation type of Jordan basic algebras / I. Kashuba, S. Ovsienko, I. Shestakov // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 47-61. — Бібліогр.: 15 назв. — англ.

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