On the lengths of Okubo algebras

2023/12/05 by Guterman, Alexander, Zhilina, Svetlana
#15A03 #17A20 #17A75 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2312.03174

Abstract

We compute the lengths of two particular cases of (possibly non-unital) composition algebras, namely, standard composition algebras and Okubo algebras over an arbitrary field \mathbbF. These results finish the complete description of lengths of symmetric composition algebras and finite-dimensional flexible composition algebras.

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