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Corestricted Group Actions and Eight-Dimensional Absolute Valued Algebras
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0002-0182-6205
2015 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 219, no 5, 1519-1547 p.Article in journal (Refereed) Published
Abstract [en]

We define and study the class of left reflection algebras, which is a subclass of eight-dimensional absolute valued algebras. We reduce its classification problem to the problem of finding a transversal for the action of a subgroup of O-7 on O-7 by conjugation. As a basis for this study, we give a general criterion for finding full subcategories of group action categories, which themselves arise from group actions.

Place, publisher, year, edition, pages
2015. Vol. 219, no 5, 1519-1547 p.
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URN: urn:nbn:se:uu:diva-247368DOI: 10.1016/j.jpaa.2014.06.014ISI: 000349427000009OAI: oai:DiVA.org:uu-247368DiVA: diva2:796983
Available from: 2015-03-20 Created: 2015-03-18 Last updated: 2015-03-31

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Alsaody, Seidon
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