Isotopes of Hurwitz algebras
Rings and Algebras
2018-08-13 v3
Abstract
We study the class of all algebras that are isotopic to a Hurwitz algebra. Isomorphism classes of such algebras are shown to correspond to orbits of a certain group action. A complete, geometrically intuitive description of the category of isotopes of Hamilton's quaternions is given. As an application, we demonstrate how some results concerning the classification of finite-dimensional composition algebras can be deduced from our general results.
Cite
@article{arxiv.1012.1849,
title = {Isotopes of Hurwitz algebras},
author = {Erik Darpö},
journal= {arXiv preprint arXiv:1012.1849},
year = {2018}
}
Comments
11 pages, final version