Derivations and automorphism groups of completed Witt Lie algebra
Rings and Algebras
2012-05-01 v1
Abstract
In this paper, a simple Lie algebra, referred to as the completed Witt Lie algebra, is introduced. Its derivation algebra and automorphism group are completely described. As a byproduct, it is obtained that the first cohomology group of this Lie algebra with coefficients in its adjoint module is trivial. Furthermore, we completely determine the conjugate classes of this Lie algebra under its automorphism group, and also obtain that this Lie algebra does not contain any nonzero ad-locally finite element.
Keywords
Cite
@article{arxiv.1005.5239,
title = {Derivations and automorphism groups of completed Witt Lie algebra},
author = {Yongping Wu and Ying Xu and Lamei Yuan},
journal= {arXiv preprint arXiv:1005.5239},
year = {2012}
}
Comments
11 pages