Lie Bialgebras with Triality and Mal’tsev Bialgebras

被引：0

作者：

M. E. Goncharov

机构：

[1] Sobolev Institute of Mathematics,

[2] Novosibirsk State University,undefined

来源：

Algebra and Logic | 2016年 / 55卷

关键词：

Mal’tsev algebra; Mal’tsev bialgebra; Lie algebra; Lie bialgebra; classical Yang–Baxter equation; symplectic form;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the relationship between Mal’tsev bialgebras and Lie bialgebras with triality, and also between symplectic Mal’tsev algebras and symplectic Lie algebras with triality. The given relations generalize a connection between Mal’tsev algebras and Lie algebras with triality, revealed by P. O. Mikheev [15], and a connection between Mal’tsev coalgebras and Lie coalgebras with triality, explored by M. E. Goncharov and V. N. Zhelyabin [17].

引用

页码：198 / 216

页数：18