#13248: Coxeter groups: all elements of length N, random elements
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Reporter: sdenton | Owner: joyner
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.3
Component: group theory | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: zabrocki | Authors: sdenton
Merged in: | Dependencies:
Stopgaps: |
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Two commonly desired constructions in a Coxeter group are to:
a) Iterate over all elements of a given length - this happens especially
in affine or other infinite coxeter groups in order to test hypotheses,
construct homogenous elements, etc...
b) Choose a random element, possibly with length specified. This often
occurs to see if a non-special element has a given property.
Iterating over all element sof a given length in particular has a nice
solution (due to N. Thiery) and anecdotally has been implemented (usually
in an inelegant fashion) by numerous community members in response to
short-term problems.
We provide some code implementing these functions!
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13248>
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