On the representation type of Jordan basic algebras

Abstract

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 over an algebraically closed field of characteristic 0.