Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra

Abstract

In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary. We also quantize W(Γ) using the Drinfeld-twist quantization technique and identify a group of noncommutative algebras and noncocommutative Hopf algebras.

Keywords

• generalized loop planar-Galilean conformal algebra
• Lie bialgebra
• quantization