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arXiv · 1703.05432

Lie super-bialgebra structures on a class of generalized super $W$-algebra $\mathfrak{L}$

Hao Wang·Huanxia Fa·Junbo Li
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Abstract

In this paper, Lie super-bialgebra structures on a class of generalized super $W$-algebra $\mathfrak{L}$ are investigated. By proving the first cohomology group of $\mathfrak{L}$ with coefficients in its adjoint tensor module is trivial, namely, $H^1(\mathfrak{L},\mathfrak{L}\otimes {\mathfrak{L}})=0$, we obtain that all Lie super-bialgebra structures on $\mathfrak{L}$ are triangular coboundary.

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Hao Wang, Huanxia Fa, Junbo Li. 2017-03-16. Lie super-bialgebra structures on a class of generalized super $W$-algebra $\mathfrak{L}$. https://arxiv.org/abs/1703.05432

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