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On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation. / Goncharov, Maxim.
в: Сибирские электронные математические известия, Том 14, 01.01.2017, стр. 1533-1544.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation
AU - Goncharov, Maxim
PY - 2017/1/1
Y1 - 2017/1/1
N2 - Let L be a simple anti-commutative algebra. In this paper we prove that a non skew-symmetric solution of the classical Yang- Baxter equation on L with L-invariant symmetric part induces on L a Rota-Baxter operator of a non-zero weight.
AB - Let L be a simple anti-commutative algebra. In this paper we prove that a non skew-symmetric solution of the classical Yang- Baxter equation on L with L-invariant symmetric part induces on L a Rota-Baxter operator of a non-zero weight.
KW - Anti-commutative algebra
KW - Classical Yang-Baxter equation
KW - Lie algebra
KW - Malcev algebra
KW - Non-associative bialgebra
KW - Rota-Baxter operator
KW - non-associative bialgebra
KW - ALGEBRAS
KW - classical Yang-Baxter equation
KW - anti-commutative algebra
KW - BIALGEBRAS
UR - http://www.scopus.com/inward/record.url?scp=85051665070&partnerID=8YFLogxK
U2 - 10.17377/semi.2017.14.132
DO - 10.17377/semi.2017.14.132
M3 - Article
AN - SCOPUS:85051665070
VL - 14
SP - 1533
EP - 1544
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
ER -
ID: 22361396