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Results tagged with jordan-algebras
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user 20445
A Jordan algebra is an algebra with multiplication satisfying two axioms (J1) xy=yx (J2) (xxy)x=xx(yx). They were defined in 1934 by Jordan, von Neumann, and Wigner seeking a better formalism for quantum mechanics. In 1966 McCrimmon proposed to analyze instead the operator Ux(y)=xyx, which lead to a notion of quadratic Jordan algebras. Three axioms (Q1, Q2, Q3) of these objects can be found below.
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polarization/linearization as in jordan forms
I am new to this branch of math, so bear with me.
This question started when reading Kevin McCrimmon's "A Taste of Jordan Algebras"
It talks about polarization and gives a general description.
the g …
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