#11187: Implementation of finite reflection groups
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Reporter: stumpc5 | Owner: tbd
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.8
Component: combinatorics | Resolution:
Keywords: reflection group, | Merged in:
days49 | Reviewers:
Authors: Christian Stump | Work issues:
Report Upstream: N/A | Commit:
Branch: | 92ab198593eb2d772c48c4cfb80408d6da1daaa9
u/stumpc5/11187-new | Stopgaps:
Dependencies: #8327 #14137 |
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Comment (by tscrim):
Replying to [comment:56 stumpc5]:
> @Simon and Nicolas: The category for complex reflection groups (with
axioms finite/irreducible/well-generated) is now sort of ready. I would
now like to make {{{ComplexReflectionGroups().Finite().WellGenerated()}}}
a super category of {{{FiniteCoxeterGroups}}}.
>
> * Is that what I should do?
> * If I simply add a method {{{supercategories}}} to
{{{FiniteCoxeterGroups}}}, its string repr changes in a not desired way.
How should I treat that?
It sounds more like you want to add
`ComplexReflectionGroups().WellGenerated()` as a supercategory to
`CoxeterGroups`, in particular to replace `Groups().FinitelyGenerated()`
by `ComplexReflectionGroups().WellGenerated()`. I also think
`ComplexReflectionGroups()` should be a subcategory of
`Groups().FinitelyGenerated()` (otherwise the additional axiom should go
on the supercategory for `CoxeterGroups()`). The finite part will take
care of itself by the `CategoryWithAxiom` magic.
--
Ticket URL: <http://trac.sagemath.org/ticket/11187#comment:58>
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