Generalized sharped cubic form and split spin factor algebra

Gubarev, Vsevolod1,2,5; Mashurov, Farukh3,4; Panasenko, Alexander2

2024-08-02

10.1080/00927872.2024.2317454

COMMUNICATIONS IN ALGEBRA   影响因子和分区

0092-7872

1532-4125

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 ((a,b,c),d,b)+((c,b,d),a,b)+((d,b,a),c,b)=0. 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

SCI

英语

其他

Mathematical Center in Akademgorodok[075-15-2022-281] ; Program of fundamental scientific researches of Russian Academy of Sciences[FWNF-2022-0002] ; Program of fundamental scientific researches of Russian Academy of Sciences[FWNF-2022-0002]

Mathematics

Mathematics

WOS:001169782200001

TAYLOR & FRANCIS INC

MATHEMATICS

Web of Science

1.Novosibirsk State Univ, Novosibirsk, Russia
2.Sobolev Inst Math, Novosibirsk, Russia
3.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Shenzhen, Guangdong, Peoples R China
4.SDU Univ, Kaskelen, Kazakhstan
5.Novosibirsk State Univ, Pirogova Str 2, Novosibirsk 630090, Russia

Gubarev, Vsevolod,Mashurov, Farukh,Panasenko, Alexander. Generalized sharped cubic form and split spin factor algebra[J]. COMMUNICATIONS IN ALGEBRA,2024,52(8).

Gubarev, Vsevolod,Mashurov, Farukh,&Panasenko, Alexander.(2024).Generalized sharped cubic form and split spin factor algebra.COMMUNICATIONS IN ALGEBRA,52(8).

Gubarev, Vsevolod,et al."Generalized sharped cubic form and split spin factor algebra".COMMUNICATIONS IN ALGEBRA 52.8(2024).