On axial algebras with 3 eigenvalues | Sciact - Система учета научной деятельности ИМ СО РАН

On axial algebras with 3 eigenvalues Научная публикация

Журнал

Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X

Вых. Данные

Год: 2026, Том: 709, Страницы: 346-367 Страниц : 22 DOI: 10.1016/j.jalgebra.2026.06.008

Ключевые слова

Axial algebra; Miyamoto involution Idempotent

Авторы

Afanasev Vsevolod A. ^1,2

Организации

1	Novosibirsk State University, Novosibirsk, Russia
2	Sobolev Institute of Mathematics, Novosibirsk, Russia

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.

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

Поступила в редакцию:	5 окт. 2024 г.
Опубликована online:	19 июн. 2026 г.

≡ Web of science:	WOS:001811419300001
≡ Scopus:	2-s2.0-105042809645
≡ OpenAlex:	W4403854212