• Login
    View Item 
    •   NWU-IR Home
    • Research Output
    • Faculty of Natural and Agricultural Sciences
    • View Item
    •   NWU-IR Home
    • Research Output
    • Faculty of Natural and Agricultural Sciences
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    An order theoretic characterization of spin factors

    Thumbnail
    Date
    2017
    Author
    Lemmens, Bas
    Roelands, Mark
    Van Imhoff, Hent
    Metadata
    Show full item record
    Abstract
    The 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 factor
    URI
    http://hdl.handle.net/10394/25785
    https://doi.org/10.1093/qmath/hax010
    https://academic.oup.com/qjmath/article/68/3/1001/3058847/An-order-theoretic-characterization-of-spin?searchresult=1
    Collections
    • Faculty of Natural and Agricultural Sciences [4855]

    Copyright © North-West University
    Contact Us | Send Feedback
    Theme by 
    Atmire NV
     

     

    Browse

    All of NWU-IR Communities & CollectionsBy Issue DateAuthorsTitlesSubjectsAdvisor/SupervisorThesis TypeThis CollectionBy Issue DateAuthorsTitlesSubjectsAdvisor/SupervisorThesis Type

    My Account

    LoginRegister

    Copyright © North-West University
    Contact Us | Send Feedback
    Theme by 
    Atmire NV