#15703: Refactor Coxeter groups as matrix groups and non crystalographic root
systems
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Reporter: nthiery | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.1
Component: combinatorics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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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.
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Ticket URL: <http://trac.sagemath.org/ticket/15703>
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