Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial

A. Rochdi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

We classify, by means of the orthogonal group 𝒪 7 ( ℝ ) , all eight-dimensional real absolute-valued algebras with left unit, and we solve the isomorphism problem. We give an example of those algebras which contain no four-dimensional subalgebras and characterise with the use of the automorphism group those algebras which contain one.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:235182

DOI: 10.1155/S016117120320538X

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