Dear gap forum and Willem,
   
  Thanks for your response. Maybe my example made things more complicated 
instead of clarifying them. I was hoping to find an equivalent to 
"CoefficientsAndMagmaElements" that would work with universal enveloping 
algebras; with that I could map the algebra elements to anything I want.
   
  Fortunately I was pointed by email to gap code written by Jan Draisma that 
defines Weyl Algebras. This actually provides the ability to do the 
calculations I had in mind in a much better setting so I'll switch to using 
that.
   
  Thanks again for your help and for Jan Draisma for very useful code.
   
  R.N.


                
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