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.
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