[GAP Forum] presentations of Lie algebras in GAP

[Jianrong Li]

Dear Forum,

If we know a set of generator of a Lie algebra, can we use GAP to give a
presentation of the Lie algebra? For example, for $sl_2$ (over
$\mathbb{C}$), if we know $e=(0, 1; 0, 0)$, $f=(0, 0; 1, 0)$ , $h=(1, 0; 0,
-1)$, how to write a presentation of $sl_2$ from these matrices?

What about the case of positive characteristics ($\mathbb{C}$ is replaced
by some field of a positive characteristic)?

Thank you very much.
With best wishes,
Jianrong.