Graded Division Algebras over the Field of Real Numbers

2016/11/12 by Yuri Bahturin, Mikhail Zaicev, Bahturin, Yuri +1
Mathematics · #16K50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 16W50 #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Secondary 16K20

paper · pdf · doi:10.48550/arxiv.1611.04000

openalex publication_date 2016/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Finite dimensional graded simple algebras

Related

• Simple Graded Division Algebras over the Field of Real Numbers
• Graded-division algebras over arbitrary fields
• Classification of some graded not necessarily associative division algebras I
• Division algebras graded by a finite group
• Finite dimensional graded simple algebras