• Title/Summary/Keyword: generalized loop super-Virasoro algebra

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LIE SUPER-BIALGEBRAS ON GENERALIZED LOOP SUPER-VIRASORO ALGEBRAS

  • Dai, Xiansheng;Xin, Bin
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1685-1695
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    • 2016
  • 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.