Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

Abstract

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

14 pages. arXiv admin note: text overlap with arXiv:math/0512555 by other authors

Cited by in corpus (1)

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