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

页码：2098 / 2109

页数：12

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