Abstract:
A finite dimensional Jordan algebra $J$ over a field $\mathbf{k}$ is called basic if the quotient algebra $J/\operatorname{Rad} J$ is isomorphic to a direct sum of copies of $\mathbf{k}$. We describe all basic Jordan algebras $J$ with $(\operatorname{Rad} J)^2=0$ of finite and tame representation type over an algebraically closed field of characteristic 0.
Keywords:Jordan algebra, Jordan bimodule, representation type, quiver of an algebra.