Hi,
so I've read (hopefully) all forum threads concerning the absence of complex
numbers in GAP. I know that there are alternatives, eg. cyclotomic fields and
algebraic extensions of the Rationals. But since I am rather unexperienced in
using GAP, I would like to know to what extent these "workarounds" can replace
complex numbers, especially when I want to work with Lie algebras over a
complex field.
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?
Since these matrices can be large, I am looking for an efficient way to deal
with this problem and I was hoping that GAP would be well suited. But then I
discovered that there were no complex numbers in GAP, and "the workarounds"
might prevent an efficient computation (or a computation at all)...
Comments welcome! :-)
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