#11187: Implementation of finite reflection groups
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Reporter: stumpc5 | Owner: tbd
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: reflection group, | Merged in:
days49 | Reviewers:
Authors: Christian Stump | Work issues:
Report Upstream: N/A | Commit:
Branch: | 425ca38c084a51fa56c301153165269031fb5e0d
u/stumpc5/11187-new | Stopgaps:
Dependencies: #8327 #14137 |
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Comment (by SimonKing):
To summarise the discussion Christian and I just had: I believe
`WellGenerated` should be an axiom. Christian said that the general notion
of well-generated is a bit tricky for infinite groups. Hence, he actually
only wants to take into account well-generatedness for ''finite'' complex
reflection groups.
Hence, the aim would be to define `WellGeneratedComplexReflectionGroups`
as application of an axiom to `ComplexReflectionGroups.Finite`. However, I
believe that the name should contain the word "finite" if we really want
to focus on finite well-generated groups. Alternatively, it should be
implemented as a nested-nested class `WellGenerated` within the nested
class `ComplexReflectionGroups.Finite`.
I also think that `WellGeneratedComplexReflectionGroups` should provide a
parent method `_test_well_generated` that tests whether `self` is well-
generated. Such method would automatically be executed when running the
test suite.
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Ticket URL: <http://trac.sagemath.org/ticket/11187#comment:45>
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