%0 Journal Article %T Classification of the Finite-Dimensional Real Division Composition Algebras having a Non-Abelian Derivation Algebra %A Seidon Alsaody %J Mathematics %D 2014 %I arXiv %R 10.1016/j.jalgebra.2015.07.025 %X 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. %U http://arxiv.org/abs/1404.1896v1