[GAP Forum] find maximal subalgebras of a Lie algebra in GAP

Willem de Graaf degraaf at science.unitn.it
Tue Jan 1 09:06:45 GMT 2013


Dear Jianrong,

In GAP there is no such functionality. The problem is also very difficult
in general, as there is an infinite number of subalgebras.

Best wishes,

Willem de Graaf

On Tue, Jan 1, 2013 at 2:22 AM, 李建荣 <lijr at lzu.edu.cn> wrote:
> Dear Forum,
>
> I have a Lie algebra A (the basis of A is given by matrices explicitly). Is there some function in GAP which can compute all subalgebras (in particular, maximal subalgebras of A) in GAP? I searched the manual of GAP, but I am not able to find such functions. Thank you very much.
>
> With best wishes,
> Jianrong.
>
>
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