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math.RA2018★ 3 cited
An algebraic semi-automated proof of the fundamental identity of Jordan algebras
John van de Wetering
The fundamental identity of quadratic Jordan algebras is commonly proven as a consequence of MacDonalds theorem or using more analytic methods. In this shor…
math.OA2018★ 3 cited
Pure Maps between Euclidean Jordan Algebras
Abraham Westerbaan, Bas Westerbaan, John van de Wetering
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this defi…