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

Authors
Song, Guang Ai Su, Yu Cai Yue, Xiao Qing
Citation
Song, Guang Ai et al., Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type, Acta mathematica Sinica. English series (Print) , 35(10), 2019, pp. 1696-1714
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
35
Issue
10
Year of publication
2019
Pages
1696 - 1714
Database
ACNP
SICI code
Abstract
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.