论文标题
本地和$ 2 $ - 本地自动形态的简单广泛witt代数
Local and $2$-local automorphisms of simple generalized Witt algebras
论文作者
论文摘要
在本文中，我们证明，在任何特征性$ 0 $上，简单的广义WITT代数的每一个可逆$ 2 $ - 本地或本地自动形态都是自动形态。特别是，Witt代数$ W_n $的每2美元或本地自动形态都是\ Mathbb {n} $的所有$ N \的自动形态。但是，一些简单的广义WITT代数确实具有$ 2 $ loc的（和本地）自动形态，而不是自动形态。
In this paper, we prove that every invertible $2$-local or local automorphism of a simple generalized Witt algebra over any field of characteristic $0$ is an automorphism. In particular, every $2$-local or local automorphism of Witt algebras $W_n$ is an automorphism for all $n\in \mathbb{N}$. But some simple generalized Witt algebras indeed have $2$-local (and local) automorphisms that are not automorphisms.
