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The double sign of a real division algebra of finite dimension greater than one
Mathematical Institute, St Giles', Oxford,.ORCID iD: 0000-0001-9177-9774
Uppsala universitet.
2012 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 285, no 13, p. 1635-1642Article in journal (Refereed) Published
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.

Place, publisher, year, edition, pages
2012. Vol. 285, no 13, p. 1635-1642
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-21717DOI: 10.1002/mana.201100189ISI: 000308643300008Scopus ID: 2-s2.0-84866156912OAI: oai:DiVA.org:mdh-21717DiVA, id: diva2:652517
Available from: 2013-09-30 Created: 2013-09-30 Last updated: 2017-12-06Bibliographically approved

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Darpö, Erik

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