#18635: Move WeylGroups.ElementMethods.reflection_to_root to
WeylGroups.ParentMethods.reflection_to_positive_root
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Reporter: stumpc5 | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: categories | Resolution:
Keywords: wely groups, coxeter groups | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by stumpc5):
> In the Weyl groups case, from my viewpoint it is useful to give the
result in the combination-of-simple-roots form, so I would prefer to keep
this.
I also wanted to have it that way, even for complex reflection groups (by
{{{vector}}} I meant the Sage class, not the mathematical term). The only
difference there was that I can access the method {{{reflection_to_root}}}
from the parent, without having to implement an element class.
> In the parent method there is still the danger that the element is not a
reflection and the method call "doesn't make sense".
True, but giving an object additional input that "doesn't make sense" is a
typical {{{ValueError}}}, while having a method attached to an instance of
the element class that does not make sense for this element is a more
fundamental error.
The reason for asking this question in the first place was that I would
like to add generic code (#18597) to the {{{FiniteCoxeterGroups}}}
category which makes use of this method. If it stays an element method, I
cannot perform that code if I want to call this method from a complex
reflection group that happens to be a Coxeter group because it lacks this
method (but, as mentioned above, I can easily add this method to the
{{{ParentMethods}}}, while it is hard to add to the {{{ElementsMethods}}}.
--
Ticket URL: <http://trac.sagemath.org/ticket/18635#comment:4>
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