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Rota-Baxter Operators of Nonzero Weight on the Split Octonions Научная публикация

Журнал

Advances in Applied Clifford Algebras
ISSN: 0188-7009 , E-ISSN: 1661-4909

Вых. Данные

Год: 2025, Том: 35, Номер: 3, Номер статьи : 27, Страниц : 23 DOI: 10.1007/s00006-025-01389-4

Ключевые слова

Cayley-Dickson algebra, Rota-Baxter operator, Split octonions, Automorphism, Antiautomorphism.

Авторы

Panasenko A.S. ^1,2

Организации

1	Novosibirsk State University
2	Sobolev Institute of Mathematics

Информация о финансировании (1)

Российский научный фонд

23-71-10005

We describe Rota-Baxter operators on split octonions. It turns out that up to some transformations there exists exactly one such nonsplitting operator over any field. We also obtain a description of all decompositions of split octonions over a quadratically closed field of characteristic different from 2 into a sum of two subalgebras, which describes the splitting Rota-Baxter operators. It completes the classification of Rota-Baxter operators on composition algebras of any weight.

Panasenko A.S.
Rota-Baxter Operators of Nonzero Weight on the Split Octonions
Advances in Applied Clifford Algebras. 2025. V.35. N3. 27 :1-23. DOI: 10.1007/s00006-025-01389-4 WOS Scopus OpenAlex

Поступила в редакцию:	6 февр. 2025 г.
Принята к публикации:	5 мая 2025 г.
Опубликована online:	24 мая 2025 г.

Web of science:	WOS:001493652500001
Scopus:	2-s2.0-105005710505
OpenAlex:	W4410714355

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