Lie bialgebra structures on the deformative Schr\"{o}dinger-Virasoro algebras

TL;DR

This paper studies Lie bialgebra structures on deformative Schrödinger-Virasoro algebras, revealing that most cases differ from their centerless counterparts using recent techniques.

Contribution

It provides a detailed analysis of Lie bialgebra structures on these algebras, highlighting differences from centerless cases and applying new methods.

Findings

Most cases differ from centerless algebras

Application of recent techniques by Liu, Pei, and Zhu

Identification of unique behavior in one exceptional case

Abstract

In this paper we investigate Lie bialgebra structures on the deformative Schr\"{o}dinger-Virasoro algebras mainly using the techniques introduced recently by Liu, Pei and Zhu, which indicate that all cases considered in this paper except one behave different from their centerless ones.