Hi Marduk,

now it becomes a bit clearer to me what you want to achieve.

I don't know whether you have already looked at

http://axiom-wiki.newsynthesis.org/ExampleSkewPolynomial

That is probably not exactly what you want, but maybe from there you can
see how you can implement the type of operators that you have in mind.

Additionally. just a hint. If you tend to use expressions and maybe the
"rule" and "ruleSet" facilities, then I would claim that you use FriCAS
just as a symbolic manipulator and this is (in a sense) exactly what
other CAS do that have just ONE type, namely an expression tree.

As you have already noticed, FriCAS is fundamentally different. You have
a type for every specific domain. You must change your mindset away from
just expression tree manipulation. The right way for FriCAS is to think
about what the algebraic structure of your operator algebra is and then
program a domain for it. Now you might have the chance that other people
have already done that for you, otherwise, it is usually not too hard to
program such a domain yourself.

Have you searched for "Lie" at
http://fricas.github.io/api/search.html?q=LIe&check_keywords=yes&area=default

I find
http://fricas.github.io/api/AssociatedLieAlgebra
or
http://fricas.github.io/api/FreeLieAlgebra.html

Perhaps that might help.

Otherwise provide the exact algebraic structure that you want to compute
with.

FriCAS is quite powerful by putting the pieces together. It is, however,
usually not that easy to fin the right components that one need for a
problem.

Ralf

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