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edit approved Dec 11, 2022 at 16:50
Dag Oskar Madsen
edit approved Dec 11, 2022 at 16:50
Dag Oskar Madsen
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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 NeumanNeumann, 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.

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 Neuman, 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.

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.

fixed grammar, made the excerpt slightly shorter
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edit approved Sep 5, 2017 at 19:05
Dag Oskar Madsen
edit approved Sep 5, 2017 at 19:05
Dag Oskar Madsen
  • 3.7k
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  • 51

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 Neuman, and Wigner seeking fora 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 algebraalgebras. Three axioms of these objects Q1(Q1, Q2, Q3 will be written below when proper formatting) of these objects can be applied.

McCrimmon, Bullfound below. AMS,1978

Jordan algebra is algebra with multiplication satisfying two axioms (J1) xy=yx (J2) (xxy)x=xx(yx). They were defined in 1934 by Jordan, von Neuman, Wigner seeking for better formalism for quantum mechanics.

In 1966 McCrimmon proposed to analyze instead operator Ux(y)=xyx which lead to a notion of quadratic Jordan algebra. Three axioms of these objects Q1, Q2, Q3 will be written below when proper formatting can be applied.

McCrimmon, Bull. AMS,1978

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 Neuman, 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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edit approved Sep 2, 2017 at 10:36
user21230
edit approved Sep 2, 2017 at 10:36
user21230

Jordan algebra is algebra with multiplication satisfying two axioms (J1) xy=yx (J2) (xxy)x=xx(yx). They were defined in 1934 by Jordan, von Neuman, Wigner seeking for better formalism for quantum mechanics.

In 1966 McCrimmon proposed to analyze instead operator Ux(y)=xyx which lead to a notion of quadratic Jordan algebra. Three axioms of these objects Q1, Q2, Q3 will be written below when proper formatting can be applied.

McCrimmon, Bull. AMS,1978

Jordan algebra is algebra with multiplication satisfying two axioms (J1) xy=yx (J2) (xxy)x=xx(yx). They were defined in 1934 by Jordan, von Neuman, Wigner seeking for better formalism for quantum mechanics.

In 1966 McCrimmon proposed to analyze instead operator Ux(y)=xyx which lead to a notion of quadratic Jordan algebra. Three axioms of these objects Q1, Q2, Q3 will be written below when proper formatting can be applied.

McCrimmon, Bull. AMS,1978

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