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.