On Jordan algebras that are factors of Matsuo algebras Full article
| Journal |
International Electronic Journal of Algebra
, E-ISSN: 1306-6048 |
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| Output data | Year: 2024, Volume: 37, Number: 37, Pages: 70-90 Pages count : 21 DOI: 10.24330/ieja.1488467 | ||||||
| Tags | Axial algebra, Matsuo algebra, Jordan algebra, 3-transposition group | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
We describe all finite connected 3-transposition groups whose Matsuo algebras have nontrivial factors that are Jordan algebras. As a corollary, we show that if F is a field of characteristic 0, then there exist infinitely many primitive axial algebras of Jordan type rac12 over F that are not factors of Matsuo algebras. As an example, we prove this for an exceptional Jordan algebra over~F.
Cite:
Gorshkov I.
, Mamontov A.
, Staroletov A.
On Jordan algebras that are factors of Matsuo algebras
International Electronic Journal of Algebra. 2024. V.37. N37. P.70-90. DOI: 10.24330/ieja.1488467 WOS Scopus РИНЦ OpenAlex
On Jordan algebras that are factors of Matsuo algebras
International Electronic Journal of Algebra. 2024. V.37. N37. P.70-90. DOI: 10.24330/ieja.1488467 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | May 19, 2023 |
| Accepted: | Feb 21, 2024 |
| Published online: | May 23, 2024 |
| Published print: | Feb 3, 2025 |
Identifiers:
| Web of science: | WOS:001400993000007 |
| Scopus: | 2-s2.0-85216410890 |
| Elibrary: | 67649901 |
| OpenAlex: | W4398199906 |