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
Copyright © The Korean Mathematical Society.
Xiansheng Dai and Bin Xin
Tongji University, Guizhou Normal University
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
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