设Fq是F上关于量子矩阵q=(qij)的量子环面,本文确定了[Fq,Fq]的导子Der[Fq,Fq],当M是Z^n的一个非退化子集时,证明了Der[Fq,Fq]是完备李代数.
Let Fq be the quantum torus related to the quantum torus matrix q=(qij) over a field F of character zero.We determine the derivation algebra Der[Fq, Fq]. In particular, we prove Der[Fq, Fq] is a complete Lie algebra if it is a non-degenerate subset of Z^n.