Abstract:
A finite dimensional Jordan algebra J over a field k is called basic if the quotient algebra J/ Rad J is isomorphic to a direct sum of copies of k. We describe all basic Jordan algebras J with (Rad J) 2 = 0 of finite and tame representation type over an algebraically closed field of characteristic 0.
Description:
Kashuba I. On the representation type of Jordan basic algebras / I.Kashuba, S.Ovsienko, I.Shestakov // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 1. - Рp. 47-61