Hey David,
   Thank you for the links.

To add to all this: GAP has already implemented some related objects: 
> (1) Lie algebras 
> (http://www.gap-system.org/Manuals/doc/ref/chap64.html, 
> http://www.gap-system.org/Datalib/lie.html, 
> http://www.science.unitn.it/~degraaf/sla.html 
> <http://www.google.com/url?q=http%3A%2F%2Fwww.science.unitn.it%2F~degraaf%2Fsla.html&sa=D&sntz=1&usg=AFQjCNHWNpq02QOvvyRIlenKNiwUjFz5pg>)
>  
>
>

Implementing an interface with GAP's Lie algebras and related objects is 
something on my todo list as well. When I started #14901, I was not as 
aware of GAP's capabilities, and I think we have much better linear algebra 
algorithms that we can leverage. Although my current implementation doesn't 
do a very good job of this...

I need to implement an optional spkg for QuaGroup and an interface to it. I 
guess this should also include SLA. A question is should the GAP packages 
be bundled together. I will start another thread about this.

Best,
Travis

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