Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type

被引：0
|
作者：
Guang Ai Song
Yu Cai Su
Xiao Qing Yue
机构：
[1] Shandong Technology and Business University,College of Mathematics and Information Science
[2] Tongji University,School of Mathematical Sciences
来源：
Acta Mathematica Sinica, English Series | 2019年 / 35卷
关键词：
(2, 2) algebra; Lie bialgebra; Lie coalgebra; dual Lie bialgebra; maximal good subspace; 17B62; 17B05; 17B06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we investigate the dual Lie coalgebras of the centerless W(2, 2) algebra by studying the maximal good subspaces. Based on this, we construct the dual Lie bialgebra structures of the centerless W(2, 2) Lie bialgebra. As by-products, four new infinite dimensional Lie algebras are obtained.
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页码：1696 / 1714
页数：18
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