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Classification of the Finite-Dimensional Real Division Composition Algebras having a Non-Abelian Derivation Algebra
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0002-0182-6205
2016 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 445, 35-77 p.Article in journal (Other academic) Published
Abstract [en]

We classify the category of finite-dimensional real division composition algebras having a non-abelian Lie algebra of derivations. Our complete and explicit classification is largely achieved by introducing the concept of a quasi-description of a category, and using it to express the problem in terms of normal form problems for certain group actions on products of 3-spheres.

Place, publisher, year, edition, pages
2016. Vol. 445, 35-77 p.
Keyword [en]
Composition algebras, division algebras, absolute valued algebras, derivation algebras, quasi-descriptions
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-224093DOI: 10.1016/j.jalgebra.2015.07.025ISI: 000365826900002OAI: oai:DiVA.org:uu-224093DiVA: diva2:715311
Available from: 2014-05-03 Created: 2014-05-03 Last updated: 2017-12-05Bibliographically approved

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Publisher's full textarXiv:1404.1896

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Alsaody, Seidon

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