In this paper we shall investigate Lie bialgebra structures on the Schrödinger–Virasoro algebra L. We found out that not all Lie bialgebra structures on the Schrödinger–Virasoro algebra are triangular coboundary, which is different from the related known results of some other Lie algebras related to the Virasoro algebra.
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Han et al. (2009) studied this question.
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