ROTA-BAXTER OPERATORS AND NON-SKEW-SYMMETRIC SOLUTIONS OF THE CLASSICAL YANG-BAXTER EQUATION ON QUADRATIC LIE ALGEBRAS

被引：3
|
作者：
Goncharov, M. P. [1 ,2 ]
机构：
[1] Sobolev Inst Math, 4 Koptyuga Ave, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Dept Mech & Math, 1 Pirogova Str, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷
关键词：
Rota-Baxter operator; quadratic Lie algebra; non-associative bialgebra; classical Yang-Baxter equation; BIALGEBRAS;
D O I：
10.33048/semi.2019.16.149
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study possible connections between Rota-Baxter operators of non-zero weight and non-skew-symmetric solutions of the classical Yang-Baxter equation on finite-dimensional quadratic Lie algebras. The particular attention is made to the case when for a solution r the element r + tau (r) is L-invariant.
引用
收藏
页码：2098 / 2109
页数：12
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