Dear R.N. Tsai,
You asked
If there's another way to map the generators of UL such that :
x -> x
d -> d
t -> 1
so that [d,x]=1 and not [d,x]=t, then this would suffice for what I'm doing.
I am running "GAP4, Version 4.4.6 of 02-Sep-2005, i686-pc-cygwin-gcc"
Thanks for you help.
As far as I am aware, there is currently no way in GAP for doing this,
because there are no constructions of algebras with generators that satisfy
the ralations you indicate.
Also, I am not exactly sure what you want. There is no algebra homomorphism
that does the indicated thing: in the universal enveloping algebra we also
have the relation dt-td=-2d. So if you map t to 1 by an algebra
homomorphism,
then you have to map d to 0.
All the best,
Willem de Graaf
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