#15703: Refactor Coxeter groups as matrix groups and non crystallographic root
systems
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Reporter: nthiery | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: combinatorics | Resolution:
Keywords: coxeter | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by nthiery):
* cc: jipilab (added)
Old description:
> This is a follow up to: #9290.
>
> Refactor CoxeterMatrixGroup and WeylGroup to make the later a subclass of
> the former, and lift as many features as possible from WeylGroup to
> CoxeterMatrixGroup. This includes:
> - Building the matrices from a root lattice realization
> - Implementing the following methods:
> {{{
> sage: W = CoxeterGroup(['H',3])
> sage: W.domain()
> }}}
>
> As a prerequisite, implement root spaces and weight spaces for non-
> crystallographic Coxeter groups.
>
> Sage Days 47 in Cernay will be a good occasion to work on this.
New description:
This is a follow up to: #9290.
Refactor CoxeterMatrixGroup and WeylGroup to make the later a subclass of
the former, and lift as many features as possible from WeylGroup to
CoxeterMatrixGroup. This includes:
- Building the matrices from a root lattice realization
- Implementing the following methods:
{{{
sage: W = CoxeterGroup(['H',3])
sage: W.domain()
}}}
As a prerequisite, implement root spaces and weight spaces for non-
crystallographic Coxeter groups.
Sage Days 57 in Cernay will be a good occasion to work on this.
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Ticket URL: <http://trac.sagemath.org/ticket/15703#comment:5>
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