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Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra. / Panasenko, Alexander S.

In: European Journal of Mathematics, Vol. 11, No. 3, 43, 16.06.2025.

Research output: Contribution to journal › Article › peer-review

Harvard

Panasenko, AS 2025, 'Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra', European Journal of Mathematics, vol. 11, no. 3, 43. https://doi.org/10.1007/s40879-025-00833-w

APA

Panasenko, A. S. (2025). Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra. European Journal of Mathematics, 11(3), [43]. https://doi.org/10.1007/s40879-025-00833-w

Vancouver

Panasenko AS. Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra. European Journal of Mathematics. 2025 Jun 16;11(3):43. doi: 10.1007/s40879-025-00833-w

Author

Panasenko, Alexander S. / Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra. In: European Journal of Mathematics. 2025 ; Vol. 11, No. 3.

BibTeX

@article{9ac6059e6abc461b9017e8635a9ac97c,
title = "Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra",
abstract = "All Rota–Baxter operators of weight zero on split Cayley–Dickson algebra with non-matrix images over a field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Moreover, this classification was refined for a quadratically closed field. Thus, the classification of Rota–Baxter operators on composition algebras is finished.",
keywords = "Antiautomorphism, Automorphism, Cayley–Dickson algebra, Rota–Baxter operator, Split octonions",
author = "Panasenko, {Alexander S.}",
note = "The study was supported by a grant from the Russian Science Foundation No. 23-71-10005, https://rscf.ru/project/23-71-10005 . ",
year = "2025",
month = jun,
day = "16",
doi = "10.1007/s40879-025-00833-w",
language = "English",
volume = "11",
journal = "European Journal of Mathematics",
issn = "2199-675X",
publisher = "Springer International Publishing AG",
number = "3",

}

RIS

TY - JOUR

T1 - Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra

AU - Panasenko, Alexander S.

N1 - The study was supported by a grant from the Russian Science Foundation No. 23-71-10005, https://rscf.ru/project/23-71-10005 .

PY - 2025/6/16

Y1 - 2025/6/16

N2 - All Rota–Baxter operators of weight zero on split Cayley–Dickson algebra with non-matrix images over a field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Moreover, this classification was refined for a quadratically closed field. Thus, the classification of Rota–Baxter operators on composition algebras is finished.

AB - All Rota–Baxter operators of weight zero on split Cayley–Dickson algebra with non-matrix images over a field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Moreover, this classification was refined for a quadratically closed field. Thus, the classification of Rota–Baxter operators on composition algebras is finished.

KW - Antiautomorphism

KW - Automorphism

KW - Cayley–Dickson algebra

KW - Rota–Baxter operator

KW - Split octonions

UR - https://www.mendeley.com/catalogue/322bc293-ec6d-3784-8f8f-b3055f3f9186/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105008234720&origin=inward&txGid=1d61875b5311b5cb808b2acfcb0cb048

U2 - 10.1007/s40879-025-00833-w

DO - 10.1007/s40879-025-00833-w

M3 - Article

VL - 11

JO - European Journal of Mathematics

JF - European Journal of Mathematics

SN - 2199-675X

IS - 3

M1 - 43

ER -

ID: 68149298