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  • 1.
    Darpö, Erik
    et al.
    Mathematical Institute, St Giles', Oxford,.
    Dieterich, Ernst
    Uppsala universitet.
    The double sign of a real division algebra of finite dimension greater than one2012In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 285, no 13, p. 1635-1642Article in journal (Refereed)
    Abstract [en]

    For any real division algebra A of finite dimension greater than one, the signs of the determinants of left multiplication and right multiplication by an element a∈ A{set minus}{0} are shown to form an invariant of A, called its double sign. For each n ∈ {2, 4, 8}, the double sign causes the category of all n-dimensional realdivision algebras to decompose into four blocks. The structures of these blocks are closely related, and their relationship is made precise for a sample of full subcategories of.

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