On the Automorphisms of the Four-dimensional Real Division Algebras


  •  Andre Diabang    
  •  Alassane Diouf    
  •  Mankagna Diompy    
  •  Alhousseynou Ba    

Abstract

In this paper, we study partially the automorphisms groups of four-dimensional division algebra. We have proved that there is an equivalence between Der(A)=su(2) and Aut(A)=SO(3). For an unitary four-dimensional real division algebra, there is an equivalence between dim(Der(A))=1 and Aut(A)=SO(2).


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