Central Extensions and Derivations of the Lie Algebras of Skew Derivations for the Quantum Torus

ABSTRACT

In this article, we study the central extensions and derivations of the Lie algebra of skew derivations for the quantum torus. The results of the article generalize those obtained in Jiang and Meng (1998a b) and Kirkman et al. (1994).

Keywords:

• Central extension
• Derivation
• Skew derivation

Mathematics Subject Classification:

• 17B05
• 17B40
• 17B68

ACKNOWLEDGMENTS

The work is supported by the National Natural Science Foundation of China (No. 10371100); Lin is also supported by the Science Foundation of the Department of Education of Fujian Province (No. JB04303).

Notes

Communicated by B. Allison.