TITLE: Software for Computing Baker-Campbell-Hausdorff
QUESTION [13 upvotes]: Does anyone have a recommendation for software which can efficiently calculate the Baker-Campbell-Hausdorff series in classical Lie algebras?  
Right now, I have a problem which boils down to understanding Baker-Campbell-Hausdorff with respect to a basis in su(2), and this seems like the kind of thing Sage or Mathematica should be able to handle.  However, I haven't had to use computer algebra packages for Lie theory before, so I would love to be pointed in the right direction.  
Many thanks,
Jesse

REPLY [3 votes]: There is a quite comprehensive package for Lie algebras in Maple. It is developed by Ian Anderson (from Utah State not Jethro Tull).