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Dear Mr Pop,

I don't know exactly what quantum matrices and iterated Ore rings are,

but from what you write I understand that, in any case, calculations with

formal expressions are involved. I don't know of any already existing

package to work with this. If the formal expressions that you work with

involve several different but commuting variables, then MAPLE looks like

the right system to use. If you just have one variable or if you work in

a non-commutative context, then it might be better to write some programs

in GAP where your objects are represented by GAP "records", with operations

specified in an "operations record". For example, in the GAP share package

"weyl" we have also realized Hecke algeras associated with finite Coxeter

groups in this way, and this works quite well. (Hecke algebras are certain

non-commutative algebras over polynomials rings, with a basis labelled by

the elements of a finite Coxeter group, say the symmetric group.) -- This

is not much, but maybe it helps you a bit further.

Sincerely yours, Meinolf Geck ------------------------------------------------------------------------- Meinolf Geck UFR de Math'ematiques et UMR 9994 du CNRS geck@math.jussieu.fr Universit'e Paris 7, 2 Place Jussieu, http://www.mathp7.jussieu.fr/~geck F--75251 Paris, France - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

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