On the lengths of Okubo algebras

A. E. Guterman; S. A. Zhilina

doi:10.1016/j.jalgebra.2024.04.027

On the lengths of Okubo algebras

A. E. Guterman
, S. A. Zhilina

Department of Mathematics

Lomonosov Moscow State University
Moscow Center for Fundamental and Applied Mathematics
Moscow Institute of Physics and Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	257-280
Number of pages	24
Journal	Journal of Algebra
Volume	653
DOIs	https://doi.org/10.1016/j.jalgebra.2024.04.027
State	Published - 1 Sep 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Inc.

Keywords

Length function
Okubo algebras
Pseudo-octonions
Standard composition algebras
Symmetric composition algebras

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10.1016/j.jalgebra.2024.04.027

Cite this

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title = "On the lengths of Okubo algebras",

abstract = "The lengths of two particular cases of (possibly non-unital) composition algebras, namely standard composition algebras and Okubo algebras over an arbitrary field, are computed. These results finish the complete description of lengths of symmetric composition algebras and finite-dimensional flexible composition algebras.",

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year = "2024",

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AU - Guterman, A. E.

AU - Zhilina, S. A.

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N2 - The lengths of two particular cases of (possibly non-unital) composition algebras, namely standard composition algebras and Okubo algebras over an arbitrary field, are computed. These results finish the complete description of lengths of symmetric composition algebras and finite-dimensional flexible composition algebras.

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

KW - Length function

KW - Okubo algebras

KW - Pseudo-octonions

KW - Standard composition algebras

KW - Symmetric composition algebras

UR - https://www.scopus.com/pages/publications/85193448709

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VL - 653

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

On the lengths of Okubo algebras

Abstract

Bibliographical note

Keywords

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