Åpne denne publikasjonen i ny fane eller vindu >>2015 (engelsk)Inngår i: Forum mathematicum, ISSN 0933-7741, E-ISSN 1435-5337, Vol. 27, nr 5, s. 2691-2745Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]
In this article, we explore new aspects in the classification of non-associative division algebras. By a detailed study of the representations of the Lie group of autotopies of real division algebras we show that, if the group of autotopies has a sufficiently rich structure, then the algebra is isotopic to one of the classical real division algebras. This turns out to be the case for large classes of real division algebras, including many that are defined by identities. In several cases, a classification up to isomorphism can be worked out from this information.
sted, utgiver, år, opplag, sider
De Gruyter, 2015
HSV kategori
Forskningsprogram
matematik/tillämpad matematik
Identifikatorer
urn:nbn:se:mdh:diva-21740 (URN)10.1515/forum-2012-0087 (DOI)000360855700007 ()2-s2.0-84941066543 (Scopus ID)
2013-09-302013-09-302020-10-22bibliografisk kontrollert