Generalized sharped cubic form and split spin factor algebra | Sciact - Система учета научной деятельности ИМ СО РАН

Generalized sharped cubic form and split spin factor algebra Научная публикация

Журнал

Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125

Вых. Данные

Год: 2024, Том: 52, Номер: 8, Страницы: 3282-3305 Страниц : 24 DOI: 10.1080/00927872.2024.2317454

Ключевые слова

Lie triple system, sharped cubic form, split spin factor algebra

Авторы

Gubarev Vsevolod ^1,2 , Mashurov Farukh ^3,4 , Panasenko Alexander ²

Организации

1	Novosibirsk State University, Novosibirsk, Russia
2	Sobolev Institute of Mathematics, Novosibirsk, Russia
3	SDU University, Kaskelen, Kazakhstan
4	Shenzhen International Center for Mathematics, Southern University of Science and Technology, Shenzhen, Guangdong, China

Информация о финансировании (2)

1	Институт математики им. С.Л. Соболева СО РАН	FWNF-2022-0002
2	Министерство науки и высшего образования РФ Математический центр в Академгородке	075-15-2019-1613, 075-15-2022-281

There is a well-known construction of a Jordan algebra via a sharped cubic form. We introduce a generalized sharped cubic form and prove that the split spin factor algebra is induced by this construction, and it satisfies the identity (Formula presented.). The split spin factor algebras have recently appeared in the classification of 2-generated axial algebras of Monster type fulfilled by T. Yabe; their properties were studied by J. McInroy and S. Shpectorov.

Gubarev V. , Mashurov F. , Panasenko A.
Generalized sharped cubic form and split spin factor algebra
Communications in Algebra. 2024. V.52. N8. P.3282-3305. DOI: 10.1080/00927872.2024.2317454 WOS Scopus OpenAlex

Поступила в редакцию:	16 сент. 2023 г.
Опубликована online:	22 февр. 2024 г.
Опубликована в печати:	29 мар. 2024 г.

Web of science:	WOS:001169782200001
Scopus:	2-s2.0-85186456566
OpenAlex:	W4392024407

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