Acta Mathematica Sinica | 2019
Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type
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.