#17798: Create a class for Coxeter matrices and types
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.6
Component: group theory | Resolution:
Keywords: Coxeter groups, | Merged in:
matrices, types, days64 | Reviewers: Jean-Philippe Labbé,
Authors: Travis Scrimshaw, | Travis Scrimshaw
Jean-Philippe Labbé | Work issues:
Report Upstream: N/A | Commit:
Branch: | eab7426aa7b98be3c11cce1bba68e035c9bf4b0c
public/combinat/coxeter_matrices-17798| Stopgaps:
Dependencies: #17990, #18152, |
#18743 |
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Changes (by tscrim):
* status: needs_review => needs_work
Comment:
So the problem is that the type recognition does not support relabelings:
{{{
sage: M = CoxeterMatrix([[1,3,2],[3,1,6],[2,6,1]])
sage: M
[1 3 2]
[3 1 6]
[2 6 1]
sage: M.coxeter_type()
Coxeter type of ['G', 2, 1]
sage: loads(dumps(M))
[1 2 3]
[2 1 6]
[3 6 1]
}}}
The type should be relabeled to (1, 2, 3) and does not necessarily
correspond to (0, 1, 2).
--
Ticket URL: <http://trac.sagemath.org/ticket/17798#comment:48>
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