一类Block型李代数的导子

Derivations of a class of Lie algebras of Block type

设B(q)是一类Block型李代数,其基为{Lαi,αi,∈i,≥0},括积运算定义为[Lαi,,Lβj,]=(β(i+q)-α(j+q))Lα+βi,+j,其中q∈13*-\21*-.计算了B(q)的导子.

Let B （q） be a class of Lie algebras of Block type with basis {Ln,i｜a,i∈Z,i≥0） and relations [La,i,Li,j]=（β（i＋g）-a（j＋q））La＋β,i＋j, where q∈1/3Z／1/2Z. In this paper,we calculated the derivations of B（q） .