On the Automorphisms of the Four-dimensional Real Division Algebras

Andre S. Diabang, Alassane Diouf, Mankagna A. Diompy, Alhousseynou Ba

Abstract


In this paper, we study partially the automorphisms groups of four-dimensional division algebra. We have proved that there is an equivalence between Der(A)=su(2) and Aut(A)=SO(3). For an unitary four-dimensional real division algebra, there is an equivalence between dim(Der(A))=1 and Aut(A)=SO(2).

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DOI: https://doi.org/10.5539/jmr.v9n2p95

License URL: http://creativecommons.org/licenses/by/4.0

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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