Generalized sharped cubic form and split spin factor algebra

Generalized sharped cubic form and split spin factor algebra Full article

Journal

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

Output data

Year: 2024, Volume: 52, Number: 8, Pages: 3282-3305 Pages count : 24 DOI: 10.1080/00927872.2024.2317454

Tags

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

Authors

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

Affiliations

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

Funding (2)

1	Sobolev Institute of Mathematics	FWNF-2022-0002
2	Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok	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

Submitted:	Sep 16, 2023
Published online:	Feb 22, 2024
Published print:	Mar 29, 2024

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

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