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Re: commuting and non-commuting symbols

check out FeynCalc. See, e.g.:

You may need to write your own noncummative matrix multiplication 
function though. In FeynCalc "." is used as noncommutative 
multiplication operator, not as matrix operator.

Rolf Mertig

P.s.: If you need speed, use FORM. It is much faster than 
FeynCalc/Mathematica for noncommutative polynomial manipulation.
But it is a bit more cumbersome to use and program.

Mertig Consulting

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