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Dear All:

I have hundred terms of commutators needs to be calculate. Each one looks like

[itex]

[{\epsilon_{i m}}^n\eta^m\frac{\partial}{\partial\eta^n},C\eta_j\eta^l\frac{\partial}{\partial\theta^l}]

[/itex] ,where C is function of [itex]\theta^i[/itex] and [itex]\eta^i[/itex].

The result of this commutator is

[itex]

{\epsilon_{im}}^n\eta_j\eta^m\frac{\partial C}{\partial\eta^n}\eta^l\frac{\partial}{\partial\theta^l}-C\epsilon_{ijm}\eta^m\eta^l\frac{\partial}{\partial\theta^l}+

C{\epsilon_{im}}^n\eta_j\eta^m\frac{\partial}{\partial\theta^n}

[/itex]

Is there any software can deal with this calculation and preserve the Einstein summation convention?

I have try to use a mathematica note book from http://www.commeare.net/2008/05/03/commutator-relations-in-mathematica/ [Broken]

to calculate the component of the commutator ie. take i=1 j=2 for example, but mathematica 's simplification rule make the result hardly to read.

Any help will be appreciated. Thanks.

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# Software to calculate simple commutator relation ?

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