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

Let Derskew(q) be the skew derivation algebra of the quantum torus [image omitted] 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 [image omitted]. 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. [ABSTRACT FROM AUTHOR]