#18722: Fix weight of Nakajima monomials
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: sage-combinat
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: combinatorics | Resolution:
Keywords: crystals, | Merged in:
nakajima monomials | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | f02f80cb660f9f35df0eba94eb1cdcf767deb22d
public/crystals/fix_nakajima_monomials-18722| Stopgaps:
Dependencies: |
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Changes (by tscrim):
* status: new => needs_review
* commit: => f02f80cb660f9f35df0eba94eb1cdcf767deb22d
* type: enhancement => defect
* branch: => public/crystals/fix_nakajima_monomials-18722
Old description:
> With #18453, all weights are computed as the difference of the highest
> weight to what should be the weight. In particular, any highest weight
> element has weight 0.
New description:
With #18453, all weights are computed as the difference of the highest
weight to what should be the weight. In particular, any highest weight
element has weight 0.
{{{
sage: La = RootSystem(['A',2]).weight_lattice().fundamental_weights()
sage: M = crystals.NakajimaMonomials(['A',2], La[1])
sage: M.module_generators[0].weight()
(0, 0, 0)
}}}
I also make Nakajima monomials as classical crystals for the finite types.
--
Comment:
Last 10 new commits:
||[http://git.sagemath.org/sage.git/commit/?id=c8fd06023efa5185e302778858a99f588b4da919
c8fd060]||{{{Alcove paths weights are up to snuff.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=495fa98ec8ecd009128b2a86c3e8a6ab0ed8d5ca
495fa98]||{{{documentation updates}}}||
||[http://git.sagemath.org/sage.git/commit/?id=42ed2f2cdb58a8f5383159716e9be570c779a7f3
42ed2f2]||{{{Merge branch 'public/crystal/18453' of
git://trac.sagemath.org/sage into public/crystal/18453}}}||
||[http://git.sagemath.org/sage.git/commit/?id=f4955c5f50d4f34510176acff8956f49d3b8702a
f4955c5]||{{{Fixing RC crystals for extended and non-extended weight
input.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=f156803dfb27b41f5837084e0708dc4b8295985f
f156803]||{{{18453: small edits}}}||
||[http://git.sagemath.org/sage.git/commit/?id=9b5b9d5e83a40a6fe55ea23d8cdf33d0f0a131c5
9b5b9d5]||{{{Merge branch 'develop' into public/crystal/18453}}}||
||[http://git.sagemath.org/sage.git/commit/?id=d120397df0e3861d7f8a876da1a62836d9cdd00b
d120397]||{{{18453: updated thematic tutorial on affine crystals}}}||
||[http://git.sagemath.org/sage.git/commit/?id=8e5c4cd07daadb6479b3a6bc18b12d42254a3d74
8e5c4cd]||{{{18453: some more additions to the thematic tutorial}}}||
||[http://git.sagemath.org/sage.git/commit/?id=ee398efc22755947ea98f0a8250333d21352f2db
ee398ef]||{{{18453: fixed one_dimensional_configuration sum issue}}}||
||[http://git.sagemath.org/sage.git/commit/?id=f02f80cb660f9f35df0eba94eb1cdcf767deb22d
f02f80c]||{{{Fixing weight of Nakajima monomials.}}}||
--
Ticket URL: <http://trac.sagemath.org/ticket/18722#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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