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My apologies if the question is simple. I need to write a code for straightening algorithm. Which includes defining bracket algebra. I tried to write it in CoCoA-5, but it wasn't possible because CoCoA-5 does not accept brackets like [1,4,6,8] as ring's indeterminates. I did some Googleing and got more confused. Can anyone introduce a Computer Algebra System which is capable of defining bracket algebra, computing G-Basis, defining ideals and other abilities which are required in Lie algebra and commutative algebra?

Thanks

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  • $\begingroup$ I'm not an expert in Lie algebras, but the first place I would look is Sage. $\endgroup$ – Geoff Oxberry Feb 4 '15 at 20:09

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