Quantization of the Rank Two Heisenberg–Virasoro Algebra

Abstract

Quantum groups occupy a significant position in both mathematics and physics, contributing to progress in these fields. It is interesting to obtain new quantum groups by the quantization of Lie bialgebras. In this paper, the quantization of the rank two Heisenberg–Virasoro algebra by Drinfel’d twists is presented, Lie bialgebra structures of which have been investigated by the authors recently.

Keywords

• quantization
• Lie bialgebras
• Drinfel’d twists
• the rank two Heisenberg–Virasoro algebra
• Hopf algebras