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arXiv · 2602.15908

A short construction of the Lie algebra $G_2(K)$ over fields $K$ of characteristic $2$

Mashhour Bani-Ata·Abdulkareem Alhuraiji
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Abstract

The purpose of this paper is to give an explicit and elementary construction for the Lie algebras of type $G_2(K)$ of dimension 14, over the field K of characteristic 2. We say an elementary construction on the account that we use not more than little naive linear algebra notions.

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Mashhour Bani-Ata, Abdulkareem Alhuraiji. 2026-02-16. A short construction of the Lie algebra $G_2(K)$ over fields $K$ of characteristic $2$. https://arxiv.org/abs/2602.15908

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