#19830: Classification of finite and affine Coxeter groups
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Reporter: stumpc5 | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.0
Component: combinatorics | Resolution:
Keywords: coxeter system, root system | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by stumpc5):
Sorry for adding more and more questions here: The documentation of the
method {{{roots}}} states
{{{
These are roots in the Coxeter sense, that all have the
same norm. They are given by their coefficients in the
base of simple roots, also taken to have all the same
norm.
}}}
How is this true if the sum of the coefficients is not one? As in
{{{
sage: W = CoxeterGroup(['A',2])
sage: W.roots()
[(1, 0), (1, 1), (0, 1), (-1, 0), (-1, -1), (0, -1)]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/19830#comment:6>
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