International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 70, Pages 4447-4454
Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial
Département de Mathématiques et Informatique, Faculté des Sciences, Université Hassan II, BP 7955, Casablanca, Morocco
Received 5 May 2002
Copyright © 2003 A. Rochdi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We classify, by means of the orthogonal group , 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.