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Lie bialgebras of generalized loop Virasoro algebras

Quantum Algebra 2016-11-25 v1

Abstract

The first cohomology group of a generalized loop Virasoro algebra with coefficients in the tensor product of its adjoint module is shown to be trivial. The result is applied to prove that Lie bialgebra structures on generalized loop Virasoro algebras are coboundary triangular. We then generalize the results to generalized map Virasoro algebras.

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Cite

@article{arxiv.1311.0102,
  title  = {Lie bialgebras of generalized loop Virasoro algebras},
  author = {Henan Wu and Song Wang and Xiaoqing Yue},
  journal= {arXiv preprint arXiv:1311.0102},
  year   = {2016}
}

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11 pages