Generalized sharped cubic form and split spin factor algebra
Gubarev V. Mashurov F. Panasenko A.
2024Taylor and Francis Ltd.
Communications in Algebra
2024#52Issue 83282 - 3305 pp.
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.
Lie triple system , sharped cubic form , split spin factor algebra
Text of the article Перейти на текст статьи
Novosibirsk State University, Novosibirsk, Russian Federation
Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
Shenzhen International Center for Mathematics, Southern University of Science and Technology, Guangdong, Shenzhen, China
SDU University, Kaskelen, Kazakhstan
Novosibirsk State University
Sobolev Institute of Mathematics
Shenzhen International Center for Mathematics
SDU University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026