Automorphism Group of q-Quantum Torus Lie Algebra with q a Root of Unity*

*Supported by National Science Foundation of China (No. 10671160).

Abstract

Let Der _skew (ℂ _q ) be the skew derivation algebra of the quantum torus with q ≠ 1 a pth primitive root of unity. In this article, we investigate the automorphism group of the derived Lie subalgebra of the infinite dimensional Lie algebra . The result of the article generalizes those obtained in Xue et al. (2006) and Zheng and Tan (2007) with q = 1 or q being generic.

Key Words:

• Automorphism group
• Quantum torus
• Skew derivation

2000 Mathematics Subject Classification:

• 17B40
• 17B65
• 17B68
• 17B70

Notes

Communicated by S. K. Sehgal.

*Supported by National Science Foundation of China (No. 10671160).