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arxiv: 1703.05073 · v1 · pith:Q35OUOVXnew · submitted 2017-03-15 · 🧮 math.RA

Lie superbialgebra structures on the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra

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keywords superbialgebraalgebradinger-neveu-schwarzfrakschrstructurestsnstwisted
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Lie superbialgebra structures on the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra $\frak{tsns}$ are described. The corresponding necessary and sufficient conditions for such superbialgebra to be coboundary triangular are given. Meanwhile, the first cohomology group of $\frak{tsns}$ with coefficients in the tensor product of its adjoint module is completely determined.

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