为了研究Hom-李代数的结构理论,类似李代数的理论,计算了Hom-型q-Virasoro代数的导子和第一上同调群,得到该代数的导子都是内导子.
In this paper,in order to study the structure theory of Hom-Lie algebra,the authors compute the derivations,first cohomology group of the q-Virasoro algebra,which is a Hom-Lie algebra,and prove that the derivations of this algebra are all inner derivations.