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Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras
作者姓名:Haibo CHEN  Xiansheng DAI  Hengyun YANG
作者单位:School of Statistics and Mathematics;School of Mathematics Sciences;Department of Mathematics
基金项目:the National Natural Science Foundation of China(Grant Nos.11801369,11771279,11801363,11431010);the Natural Science Foundation of Shanghai(Grant No.16ZR1415000).
摘    要:We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) are triangular coboundary.

关 键 词:Lie  bialgebra  Yang-Baxter  equation  generalized  loop  Schrodinger-Virasoro  algebra

Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras
Haibo CHEN,Xiansheng DAI,Hengyun YANG.Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras[J].Frontiers of Mathematics in China,2019,14(2):239-260.
Authors:Haibo CHEN  Xiansheng DAI  Hengyun YANG
Institution:1. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China2. School of Mathematics Sciences, Guizhou Normal University, Guiyang 550001, China3. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China
Abstract:We give a classification of Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras sv. Then we find out that not all Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras sv are triangular coboundary.
Keywords:Lie bialgebra  Yang-Baxter equation  generalized loop Schrödinger-Virasoro algebra  
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