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.

Keywords

Lie bialgebra / Yang-Baxter equation / twisted Schrödinger-Virasoro algebra

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