Dual Lie Bialgebra Structures of W -algebra W (2, 2) Type |
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| Authors: | Guang Ai Song Yu Cai Su Xiao Qing Yue |
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| Affiliation: | 1. College of Mathematics and Information Science, Shandong Technology and Business University, Shandong 264005, P. R. China;2. School of Mathematical Sciences, Tongji University, Shanghai 200092, P. R. China |
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| 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. |
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| Keywords: | W (2 2) algebra Lie bialgebra Lie coalgebra dual Lie bialgebra maximal good subspace |
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