Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

preprint2012arXivOpen access

In this paper, Lie bialgebra structures on generalized Heisenberg-Virasoro algebra $\mathfrak{L}$ are considered. Also, $H^1({\mathfrak{L}} ,\mathfrak{L}\bigotimes\mathfrak{L})$ is given explicitly. Moreover, it is proved that all Lie bialgebra structure on centerless generalized Heisenberg-Virasoro algebra $\bar{\mathfrak{L}}$ are coboundary triangular.

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Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

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