Classification of the Finite-Dimensional Real Division Composition Algebras having a Non-Abelian Derivation Algebra
Rings and Algebras
2015-09-18 v1 Representation Theory
Abstract
We classify the category of finite-dimensional real division composition algebras having a non-abelian Lie algebra of derivations. Our complete and explicit classification is largely achieved by introducing the concept of a quasi-description of a category, and using it to express the problem in terms of normal form problems for certain group actions on products of 3-spheres.
Keywords
Cite
@article{arxiv.1404.1896,
title = {Classification of the Finite-Dimensional Real Division Composition Algebras having a Non-Abelian Derivation Algebra},
author = {Seidon Alsaody},
journal= {arXiv preprint arXiv:1404.1896},
year = {2015}
}