Local and 2-local automorphisms of simple generalized Witt algebras

Yang Chen Mathematics Postdoctoral Research Center, Hebei Normal University, Shijiazhuang, Heibei, China Kaiming Zhao Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada; and School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, Hebei, China Yueqiang Zhao School of Mathematics and Statistics, Xinyang Normal University, Xinyang, Henan, China

Rings and Algebras mathscidoc:2203.31004

Arkiv for Matematik, 59, (1), 1-10, 2021.5
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. Furthermore, every 2-local or local automorphism of Witt algebras W_n is an automorphism for all n∈N. But some simple generalized Witt algebras indeed have 2-local (and local) automorphisms that are not automorphisms.
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@inproceedings{yang2021local,
  title={Local and 2-local automorphisms of simple generalized Witt algebras},
  author={Yang Chen, Kaiming Zhao, and Yueqiang Zhao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311103003874301951},
  booktitle={Arkiv for Matematik},
  volume={59},
  number={1},
  pages={1-10},
  year={2021},
}
Yang Chen, Kaiming Zhao, and Yueqiang Zhao. Local and 2-local automorphisms of simple generalized Witt algebras. 2021. Vol. 59. In Arkiv for Matematik. pp.1-10. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311103003874301951.
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