Standard

Generalized sharped cubic form and split spin factor algebra. / Gubarev, Vsevolod; Mashurov, Farukh; Panasenko, Alexander.

в: Communications in Algebra, Том 52, № 8, 2024, стр. 3282-3305.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gubarev, V, Mashurov, F & Panasenko, A 2024, 'Generalized sharped cubic form and split spin factor algebra', Communications in Algebra, Том. 52, № 8, стр. 3282-3305. https://doi.org/10.1080/00927872.2024.2317454

APA

Gubarev, V., Mashurov, F., & Panasenko, A. (2024). Generalized sharped cubic form and split spin factor algebra. Communications in Algebra, 52(8), 3282-3305. https://doi.org/10.1080/00927872.2024.2317454

Vancouver

Gubarev V, Mashurov F, Panasenko A. Generalized sharped cubic form and split spin factor algebra. Communications in Algebra. 2024;52(8):3282-3305. doi: 10.1080/00927872.2024.2317454

Author

Gubarev, Vsevolod ; Mashurov, Farukh ; Panasenko, Alexander. / Generalized sharped cubic form and split spin factor algebra. в: Communications in Algebra. 2024 ; Том 52, № 8. стр. 3282-3305.

BibTeX

@article{eabb4481bd3d42c2aabfa264a98f2653,
title = "Generalized sharped cubic form and split spin factor algebra",
abstract = "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.",
keywords = "Lie triple system, sharped cubic form, split spin factor algebra",
author = "Vsevolod Gubarev and Farukh Mashurov and Alexander Panasenko",
note = "V. Gubarev is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation. A.S. Panasenko is supported by the Program of fundamental scientific researches of Russian Academy of Sciences, project FWNF-2022-0002. F. Mashurov is supported by the Postdoctoral program at Shenzhen International Center for Mathematics (SICM), SUSTech. The results of Section 2 are supported by the Program of fundamental scientific researches of Russian Academy of Sciences, project FWNF-2022-0002. The results of Section 4–6 are supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2024",
doi = "10.1080/00927872.2024.2317454",
language = "English",
volume = "52",
pages = "3282--3305",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

RIS

TY - JOUR

T1 - Generalized sharped cubic form and split spin factor algebra

AU - Gubarev, Vsevolod

AU - Mashurov, Farukh

AU - Panasenko, Alexander

N1 - V. Gubarev is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation. A.S. Panasenko is supported by the Program of fundamental scientific researches of Russian Academy of Sciences, project FWNF-2022-0002. F. Mashurov is supported by the Postdoctoral program at Shenzhen International Center for Mathematics (SICM), SUSTech. The results of Section 2 are supported by the Program of fundamental scientific researches of Russian Academy of Sciences, project FWNF-2022-0002. The results of Section 4–6 are supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Lie triple system

KW - sharped cubic form

KW - split spin factor algebra

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85186456566&origin=inward&txGid=e6443752983cb1d42c36121728d86746

UR - https://www.mendeley.com/catalogue/33269b5a-d29c-3b70-9509-40fd600e2ab1/

U2 - 10.1080/00927872.2024.2317454

DO - 10.1080/00927872.2024.2317454

M3 - Article

VL - 52

SP - 3282

EP - 3305

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 8

ER -

ID: 60463740