Power-associative evolution algebras

2018/12/24 by Ouattara, Moussa, Savadogo, Souleymane
#17A05 #17A60 #FOS: Mathematics #Primary 17D92 #Rings and Algebras (math.RA) #Secondary 17D99

paper · doi:10.48550/arxiv.1812.09986

Abstract

The paper is devoted to the study of evolution algebras that are power-associative algebras. We give the Wedderburn decomposition of evolution algebras that are power-associative algebras and we prove that these algebras are Jordan algebras. Finally, we use this decomposition to classify these algebras up to dimension six.

Related

• Dérivations dans les algèbres d'évolution à puissances associatives
• Few remarks on evolution algebras
• Chains in evolution algebras
• Squares and associative representations of two dimensional evolution\n algebras
• Evolution algebras of arbitrary dimension and their decompositions