Dear Knut,

You asked the following:

What I want to do with GAP is the following: Given a set of complex square matrices, find out if they form a vectorspace under repeated commutation, i.e. a > Lie algebra. In other words, do these given matrices generate a Lie algebra under repeated commutation?

The problem here is that you need some exact representation of the complex
numbers that you use. (Just a floating point representation does not work.)
If the entries of your matrices are algebraic over Q, then you can represent
them as entries in a number field. Otherwise I don't see how your problem
could be solved.

Best wishes,

Willem de Graaf



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