RESEARCH ARTICLE

A note on simplicity of contact Lie algebras over $\operatorname{GF}(2)$

Chia Zargeh

Institute Computational Mathematics, TU Braunschweig, Pockelsstrasse 14, 38106 Braunschweig, Germany

Abstract: In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, we make a conjecture which says that the quotient algebra of contact Lie algebra by its Nilradical is simple and there exists an isomorphism among this constituents and Witt Lie algebras and Hamilton Lie algebras.

Keywords: simple Lie algebras, contact Lie algebras, Hamilton Lie algebras, Witt Lie algebras.

MSC: 17B50, 17B70

Received: 29.11.2015

Language: English

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