Hurwitz' theorem on composition algebras

2010/11/29 by Bruce W. Westbury, Westbury, Bruce W. · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.RA #msc:17A75

paper · pdf · doi:10.48550/arxiv.1011.6197

arxiv created 2010/11/29 · arxiv updated 2010/11/30

Abstract

The main aim of this article is to give an exposition of the diagrammatic proof due to Boos and Rost of the theorem of Hurwitz that the dimension of a composition algebra is one of 0,1,2,4,8.

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• Vector product and composition algebras in braided monoidal additive\n categories

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