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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)
  • Received : 2015.10.28
  • Published : 2016.11.30
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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

Acknowledgement

Supported by : NSF

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