On axial algebras with 3 eigenvalues Full article
| Journal |
Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X |
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| Output data | Year: 2026, Volume: 709, Pages: 346-367 Pages count : 22 DOI: 10.1016/j.jalgebra.2026.06.008 | ||||
| Tags | Axial algebra; Miyamoto involution Idempotent | ||||
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Abstract:
We study axial algebras, that is, commutative non-associative algebras generated by idempotents whose adjoint actions are semisimple and obey a fusion law. Considering the case, when said adjoint actions having 3 eigenvalues and the fusion law is the least restrictive, we describe 2-generated and 3-generated algebras and prove some of their general properties.
Cite:
Afanasev V.A.
On axial algebras with 3 eigenvalues
Journal of Algebra. 2026. V.709. P.346-367. DOI: 10.1016/j.jalgebra.2026.06.008 WOS Scopus OpenAlex
On axial algebras with 3 eigenvalues
Journal of Algebra. 2026. V.709. P.346-367. DOI: 10.1016/j.jalgebra.2026.06.008 WOS Scopus OpenAlex
Dates:
| Submitted: | Oct 5, 2024 |
| Published online: | Jun 19, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001811419300001 |
| ≡ Scopus: | 2-s2.0-105042809645 |
| ≡ OpenAlex: | W4403854212 |