#18590: coxeter sorting words
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Reporter: vpilaud | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: combinatorics | Resolution:
Keywords: Sage Days 64.5 | Merged in:
Authors: Vincent Pilaud | Reviewers: Viviane Pons
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vpilaud/coxeter_sorting_words | 70315c85d0360b02eff867f1b0f840fb582ed957
Dependencies: | Stopgaps:
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Changes (by vpilaud):
* status: needs_work => needs_review
* commit: d1db90cb346dfafac5f6e512ecdb956862828aef =>
70315c85d0360b02eff867f1b0f840fb582ed957
Old description:
> Add support for Coxeter sorting words
New description:
Coxeter sorting is used to define sortable elements of a Coxeter group.
New methods are:
* rank of the Coxeter group
* support of an element (the simple reflections that appear in the
reduced expressions of the element)
* has_full_support tells if the support contains all simple reflections
* coxeter_sorting_word returns the c-sorting word of an element
* is_coxeter_sortable tells if an element is c-sortable
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Comment:
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=70315c85d0360b02eff867f1b0f840fb582ed957
70315c8]||{{{fix bug is_sortable_element}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/18590#comment:8>
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