%0 Journal Article
%T Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial
%A A. Rochdi
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s016117120320538x
%X We classify, by means of the orthogonal group 𝒪7(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.
%U http://www.hindawi.com/journals/ijmms/2003/235182/abs/