Lie algebras induced by a nonzero field derivation


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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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