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http://dx.doi.org/10.4134/BKMS.b150884

LIE SUPER-BIALGEBRAS ON GENERALIZED LOOP SUPER-VIRASORO ALGEBRAS  

Dai, Xiansheng (School of Mathematics Sciences Guizhou Normal University)
Xin, Bin (School of Mathematics Sciences Guizhou Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1685-1695 More about this Journal
Abstract
In this article we consider Lie super-bialgebra structures on the generalized loop super-Virasoro algebra ${\mathcal{G}}$. By proving that the first cohomology group $H^1({\mathcal{G}},{\mathcal{G}}{\otimes}{\mathcal{G}})$ is trivial, we obtain that all such Lie bialgebras are triangular coboundary.
Keywords
generalized loop super-Virasoro algebra; Lie super-bialgebra; Yang-Baxter equation;
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