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Communications in Algebra Volume 50, 2022 - Issue 3
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On the lengths of standard composition algebras

A. E. Gutermana Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia;b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia;c Moscow Center for Continuous Mathematical Education, Moscow, RussiaView further author information
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S. A. Zhilinaa Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia;b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia;c Moscow Center for Continuous Mathematical Education, Moscow, RussiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-0447-7274View further author information
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Pages 1092-1105 | Received 08 May 2021, Accepted 03 Sep 2021, Published online: 13 Oct 2021
 
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Abstract

We suggest a new method which allows us to compute the lengths of (possibly non-unital) standard composition algebras over an arbitrary field F with char F≠2.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgements

The authors thank D. K. Kudryavtsev for many insightful conversations and suggestions.

Additional information

Funding

This work was supported by the Russian Science Foundation under Grant 21-11-00283.

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