I am actually not sure anymore, which methods or functionality this class should provide.
Would it possibly be better to enhance PermutationGroup with an additional optional "from_action" and "from_cyclic_action" argument? Eg.: PermutationGroup(domain = X, cyclic_action = lambda x: f(x)) PermutationGroup(domain = X, group_action = (G, lambda g, x: f(g, x))) Martin On Monday, 2 May 2022 at 14:20:57 UTC+2 kcrisman wrote: > On Sunday, May 1, 2022 at 7:32:01 PM UTC-4 Travis Scrimshaw wrote: > >> Sorry, I don't know an easy way. I've always just defined them by hand >>>> whenever needed. >>>> However, I agree with you that a better way is needed. >>>> >>> >>> I would love for there to be some standard way to define a group action >>> on a set - preferably maintaining other algebraic properties of the set, >>> such as addition! But I don't know if there is even close to a standard >>> way to do this either. >>> >> >> - There is a standard way to do this, but not a generic method/class for >> it IIRC. You can do this by implementing an _act_on_() method on a wrapper >> class. Yet, this requires some manual input. >> - For cyclic actions, there is the DiscreteDynamicalSystem class >> introduced in https://trac.sagemath.org/ticket/24128. >> - There is also the Representation class in >> modules/with_basis/representation.py if you want to want to extend the >> action on the set to the module with a basis given by that set. >> >> Likely we will want to implement a class SetWithAction that automates a >> collects the orbit_decomposition functions and similar together as methods >> as a single global entry point. >> >> > Hmm, maybe a tutorial is needed for this. I would imagine that a lot of > people who aren't familiar with how to create a new wrapper class would be > the ones who need this. Of course, the FiniteGroupAction suggestion > sounds quite welcome, too, though really having both options would be best. > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/694a16d8-b59d-43bc-8b68-033c704284abn%40googlegroups.com.
