Classification of the Finite-Dimensional Real Division Composition   Algebras having a Non-Abelian Derivation Algebra
  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. 
Seidon Alsaody
math.RA math.RT