Quasi-definite primitive axial algebras of Jordan type half Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2023, Volume: 20, Number: 2, Pages: 833-846 Pages count : 14 DOI: 10.33048/semi.2023.20.050 | ||
| Tags | axial algebra of Jordan type, Frobenius form, semisimplicity | ||
| Authors |
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| Affiliations |
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Funding (1)
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Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
Axial algebras are commutative nonassociative algebras generated by a nite set of primitive idempotents whose action on an algebra is semisimple, and the fusion laws on the products between eigenvectors for these idempotents are ful lled. We nd the su cient conditions in terms of the Frobenius form and the properties of idempotents under which an axial algebra of Jordan type half is unital.
Cite:
Gorshkov I.B.
, Gubarev V.Y.
Quasi-definite primitive axial algebras of Jordan type half
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.833-846. DOI: 10.33048/semi.2023.20.050 WOS Scopus
Quasi-definite primitive axial algebras of Jordan type half
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.833-846. DOI: 10.33048/semi.2023.20.050 WOS Scopus
Dates:
| Submitted: | Apr 20, 2023 |
| Published print: | Oct 20, 2023 |
| Published online: | Oct 20, 2023 |
Identifiers:
| Web of science: | WOS:001095866000001 |
| Scopus: | 2-s2.0-85176611339 |
Citing:
| DB | Citing |
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| Scopus | 1 |