Graded Division Algebras over the Field of Real Numbers

Abstract

We give a full classification, up to equivalence, of finite-dimensional graded division algebras over the field of real numbers. The grading group is any abelian group.

Cited by in corpus (3)

• Gradings on classical central simple real Lie algebras
• Classification of involutions on graded-division simple real algebras
• On nonassociative graded-simple algebras over the field of real numbers