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dc.contributor.authorLemmens, Bas
dc.contributor.authorRoelands, Mark
dc.contributor.authorVan Imhoff, Hent
dc.date.accessioned2017-10-11T08:55:08Z
dc.date.available2017-10-11T08:55:08Z
dc.date.issued2017
dc.identifier.citationLemmens, B. et al. 2017. An order theoretic characterization of spin factors. Quarterly journal of mathematics, 68(3):1001-1017. [https://doi.org/10.1093/qmath/hax010]en_US
dc.identifier.issn0033-5606
dc.identifier.issn1464-3847 (Online)
dc.identifier.urihttp://hdl.handle.net/10394/25785
dc.identifier.urihttps://doi.org/10.1093/qmath/hax010
dc.identifier.urihttps://academic.oup.com/qjmath/article/68/3/1001/3058847/An-order-theoretic-characterization-of-spin?searchresult=1
dc.description.abstractThe famous Koecher-Vinberg theorem characterizes the Euclidean Jordan algebras among the finite dimensional order unit spaces as the ones that have a symmetric cone. Recently, Walsh gave an alternative characterization of the Euclidean Jordan algebras. He showed that the Euclidean Jordan algebras correspond to the finite dimensional order unit spaces (V, C, u) for which there exists a bijective map g:C◦→C◦ with the property that g is antihomogeneous, that is, g(λx)=λ−1g(x) for all λ>0 and x∈C◦, and g is an order-antimorphism, that is, x≤Cy if and only if g(y)≤Cg(x). In this paper, we make a first step towards extending this order theoretic characterization to infinite dimensional JB-algebras. We show that if (V, C, u) is a complete order unit space with a strictly convex cone and dimV≥3, then there exists a bijective antihomogeneous order-antimorphism g:C◦→C◦ if and only if (V, C, u) is a spin factoren_US
dc.language.isoenen_US
dc.publisherOxford Univ Pressen_US
dc.titleAn order theoretic characterization of spin factorsen_US
dc.typeArticleen_US
dc.contributor.researchID29024692 - Roelands, Mark


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