Completions of Lie Algebras

M. Shahryari

Completions of Lie Algebras

Group Theory 2012-12-11 v1 Rings and Algebras

Authors: M. Shahryari

Abstract

A Lie algebra $K$ over a field of characteristic zero $E$ is called a completion of a rational Lie algebra $L$ , if it contains $L$ as $\mathbb{Q}$ -subalgebra and the $E$ -span of $L$ is equal to $K$ . The class of all completions of a rational Lie algebra is studied in this article.

Keywords

Lie algebra completion rational Lie algebra field of characteristic zero subalgebra span

Cite

@article{arxiv.1212.2116,
  title  = {Completions of Lie Algebras},
  author = {M. Shahryari},
  journal= {arXiv preprint arXiv:1212.2116},
  year   = {2012}
}

Comments

7 pages

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