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

Bar-Ilan University

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

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

Keywords

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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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.",

keywords = "Length function, Okubo algebras, Pseudo-octonions, Standard composition algebras, Symmetric composition algebras",

author = "Guterman, \{A. E.\} and Zhilina, \{S. A.\}",

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year = "2024",

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day = "1",

doi = "10.1016/j.jalgebra.2024.04.027",

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T1 - On the lengths of Okubo algebras

AU - Guterman, A. E.

AU - Zhilina, S. A.

PY - 2024/9/1

Y1 - 2024/9/1

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 - http://www.scopus.com/inward/record.url?scp=85193448709&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2024.04.027

DO - 10.1016/j.jalgebra.2024.04.027

M3 - مقالة

SN - 0021-8693

VL - 653

SP - 257

EP - 280

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On the lengths of Okubo algebras

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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