Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras

doi:10.1007/s11464-019-0761-0

Front. Math. China

2019, Vol. 14

Issue (2) : 239-260 https://doi.org/10.1007/s11464-019-0761-0

RESEARCH ARTICLE

Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras

Haibo CHEN¹, Xiansheng DAI², Hengyun YANG³(

)

¹. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
². School of Mathematics Sciences, Guizhou Normal University, Guiyang 550001, China
³. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China

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Abstract

We give a classification of Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras $s v$ . 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

Corresponding Author(s): Hengyun YANG

Issue Date: 14 May 2019

Cite this article:

Haibo CHEN,Xiansheng DAI,Hengyun YANG. Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras[J]. Front. Math. China, 2019, 14(2): 239-260.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0761-0
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I2/239

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