Quantization of Schrödinger-Virasoro Lie algebra

Abstract

In this paper, we use the general quantization method by Drinfel’d twists to quantize the Schrodinger-Virasoro Lie algebra whose Lie bialgebra structures were recently discovered by Han-Li-Su. We give two different kinds of Drinfel’d twists, which are then used to construct the corresponding Hopf algebraic structures. Our results extend the class of examples of noncommutative and noncocommutative Hopf algebras.