Lie super-bialgebras on generalized loop super-Virasoro algebras

Xiansheng Dai; Bin Xin

doi:10.4134/BKMS.b150884

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Bull. Korean Math. Soc. 2016; 53(6): 1685-1695

Online first article November 3, 2016 Printed November 30, 2016

https://doi.org/10.4134/BKMS.b150884

Lie super-bialgebras on generalized loop super-Virasoro algebras

Xiansheng Dai and Bin Xin

Tongji University, Guizhou Normal University

Abstract

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Abstract

In this article we consider Lie super-bialgebra structures on the generalized loop super-Virasoro algebra $\G$. By proving that the first cohomology group $H^1(\G, \G\otimes\G)$ is trivial, we obtain that all such Lie bialgebras are triangular coboundary.

Keywords: generalized loop super-Virasoro algebra, Lie super-bialgebra, Yang-Baxter equation

MSC numbers: Primary 17B05, 17B40, 17B65, 17B68