Schrödinger-Virasoro type Lie bialgebra: a twisted case

Abstract

In this paper, we investigate Lie bialgebra structures on a twisted Schrödinger-Virasoro type algebra \mathfrak{L}. All Lie bialgebra structures on \mathfrak{L} are triangular coboundary, which is different from the relative result on the original Schrödinger-Virasoro type Lie algebra. In particular, we find for this Lie algebra that there are more hidden inner derivations from itself to \mathfrak{L}\otimes \mathfrak{L} and we develop one method to search them.

Key words： Lie bialgebra; Yang-Baxter equation; twisted Schrödinger-Virasoro algebra

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