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：
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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].
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页码：198 / 216
页数：18
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