论文标题
$δ$ -First Whitehead引理
A $δ$-first Whitehead Lemma
论文作者
论文摘要
我们证明，在特征零字段上，简单的有限维谎言代数的$δ$衍生为有限维模块中的值是内部派生，或者在伴随模块的情况下，由标量乘以标量，或某些与$ \ \ \ nathfrak {sl sl}（2）$相关的特殊情况。这可以看作是古典第一个白头引理的延伸。
We prove that $δ$-derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivations, or, in the case of adjoint module, multiplications by a scalar, or some exceptional cases related to $\mathfrak{sl}(2)$. This can be viewed as an extension of the classical first Whitehead Lemma.
