Email this article Lie algebras induced by a nonzero field derivation
- Authors: Gein A.G.1
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Affiliations:
- Ural Federal University
- Issue: Vol 58, No 5 (2017)
- Pages: 786-793
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171424
- DOI: https://doi.org/10.1134/S0037446617050056
- ID: 171424
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Abstract
Given a finite-dimensional associative commutative algebra A over a field F, we define the structure of a Lie algebra using a nonzero derivation D of A. If A is a field and charF > 3; then the corresponding algebra is simple, presenting a nonisomorphic analog of the Zassenhaus algebra W1(m).
About the authors
A. G. Gein
Ural Federal University
Author for correspondence.
Email: A.G.Geyn@urfu.ru
Russian Federation, Ekaterinburg
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