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首页> 外文期刊>Advances in applied Clifford algebras >Some P-properties of the Quadratic Representations and Automorphism Invariance in Euclidean Jordan Algebras
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Some P-properties of the Quadratic Representations and Automorphism Invariance in Euclidean Jordan Algebras

机译：Euclidean Jordan代数的二次陈述和自动性不变性的一些p-属性

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摘要

Quadratic representations are very useful in the study of Euclidean Jordan algebras and complementarity problems. In this paper, we provide some characterizations of the complementarity properties for the quadratic representation P (a) . For example, P (a) has the E-0-property; P (a) is monotone iff . In addition, the algebra and cone automorphism invariance of some E-properties are studied. By use of the quadratic representations, the Jordan quad E-property is proved to keep cone automorphism invariant in simple Jordan algebras. The pseudomonotone property is shown to be cone automorphism invariant.
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