#12940: Combinatorial implementation of the affine symmetric group
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Reporter: sdenton | Owner: tom denton
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.7
Component: combinatorics | Resolution:
Keywords: affine, combinatorics, days38 | Work issues:
Report Upstream: N/A | Reviewers:
Authors: tom denton | Merged in:
Dependencies: | Stopgaps:
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Old description:
> This is a combinatorial implementation of the affine symmetric group,
> providing a second implementation of the WeylGroup(['A',k,1]), but quite
> a bit faster. The basic idea should be easily extensible to the
> combinatorial interpretations of the other affine types with window
> notations, and I've discussed a bit with N. Thiery about hacking together
> a kind of window notation for the other types.
New description:
This is a combinatorial implementation of the affine symmetric group,
providing a second implementation of the WeylGroup(['A',k,1]), but quite a
bit faster. Also included are combinatorial implmenetations of affine
types B,C,D and G. Extension to types E and F should be possible.
--
Comment (by sdenton):
Replying to [ticket:12940 sdenton]:
> This is a combinatorial implementation of the affine symmetric group,
providing a second implementation of the WeylGroup(['A',k,1]), but quite a
bit faster. The basic idea should be easily extensible to the
combinatorial interpretations of the other affine types with window
notations, and I've discussed a bit with N. Thiery about hacking together
a kind of window notation for the other types.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12940#comment:15>
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