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

作　　者：Guang Ai SONG Yu Cai SU Xiao Qing YUE 

机构地区：[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

出　　处：《Acta Mathematica Sinica,English Series》2019年第10期1696-1714,共19页数学学报（英文版）

基　　金：Supported by NSF grant of China and NSF grant of Shandong Province(Grant Nos.11431010,11671056,ZR2013AL013 and ZR2014AL001)

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.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.

关 键 词：W(2 2) ALGEBRA LIE BIALGEBRA LIE COALGEBRA DUAL LIE BIALGEBRA maximal good subspace 

分 类 号：O1[理学—数学]