Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras

We give a classification of Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras sv\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak{sv}$$\end{document}. Then we find out that not all Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras sv\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak{sv}$$\end{document} are triangular coboundary.