Quantization of the derivation Lie algebra over quantum torus

Abstract

Recently, Lie bialgebra structures of the derivation Lie algebra over quantum torus were determined. In this paper, we use the general method of quantization by a Drinfel’d twist to quantize these algebras with their Lie bialgebra structures and present the explicit formulae.

Keywords:

• Drinfel’d twist
• Lie bialgebras
• quantization
• quantum torus

2020 Mathematics Subject Classification:

• 17B62
• 17B05
• 17B37
• 17B66

Additional information

Funding

Supported by the National Natural Science Foundation of China (No. 11971350) and the Fundamental Research Funds for the Central Universities (No. 22120210554).