> > Or what is the "modern" approach/solution for this? > > It is possible to do everything based on > sage.combinat.free_module.CombinatorialFreeModule. It is a clean > mathematical approach (for defining something like a multiplication on > a module, it is enough to define what happens on a basis). But it is > pure python code and it uses an amazing amount of indirections. So, I > would recommend against using it for time-critical applications. And > that's part of the motivation for the two tickets that I mentioned before: > I want to make it possible to define a multiplication action in some > Cython file, and let the categoy framework (written in Python) put the > appropriate fast Cython methods into the parent's action cache. > > A lot of the functionality has also been abstracted up to the category ModulesWithBasis. However, I agree that there are a large number of indirections that we might want to simplify, and CombinatorialFreeModule would likely benefit from more cythonization (and common abstraction with sparse free modules).
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