#6839: [with patch, positive review] Implementation of crystal of letters for
type
E7
-----------------------------------------+----------------------------------
Reporter: aschilling | Owner: aschilling
Type: enhancement | Status: closed
Priority: major | Milestone: sage-4.1.2
Component: combinatorics | Resolution: fixed
Keywords: combinat, crystals | Reviewer: Daniel Bump
Author: Anne Schilling, Brant Jones | Merged: Sage 4.1.2.alpha1
-----------------------------------------+----------------------------------
Changes (by mvngu):
* status: new => closed
* milestone: sage-combinat => sage-4.1.2
* reviewer: bump => Daniel Bump
* resolution: => fixed
* merged: => Sage 4.1.2.alpha1
Comment:
The following docstring causes warnings when building the reference
manual:
{{{
1287 TESTS::
1288
1289 sage: C = CrystalOfLetters(['E',7])
1290 sage: C.module_generators
1291 [[7]]
1292 sage: C.list()
1293 [[7], [-7, 6], [-6, 5], [-5, 4], [-4, 2, 3], [-2, 3], [-3, 1,
2], [-1,
1294 2], [-3, -2, 1, 4], [-1, -2, 4], [-4, 1, 5], [-4, -1, 3, 5],
[-3, 5],
1295 [-5, 6, 1], [-5, -1, 3, 6], [-5, -3, 4, 6], [-4, 2, 6], [-2,
6], [-6, 7,
1296 1], [-1, -6, 3, 7], [-6, -3, 7, 4], [-6, -4, 2, 7, 5], [-6,
-2, 7, 5],
1297 [-5, 7, 2], [-5, -2, 4, 7], [-4, 7, 3], [-3, 1, 7], [-1, 7],
[-7, 1],
1298 [-1, -7, 3], [-7, -3, 4], [-4, -7, 2, 5], [-7, -2, 5], [-5,
-7, 6, 2],
1299 [-5, -2, -7, 4, 6], [-7, -4, 6, 3], [-3, -7, 1, 6], [-7, -1,
6], [-6,
1300 2], [-2, -6, 4], [-6, -4, 5, 3], [-3, -6, 1, 5], [-6, -1, 5],
[-5, 3],
1301 [-3, -5, 4, 1], [-5, -1, 4], [-4, 1, 2], [-1, -4, 3, 2], [-3,
2], [-2,
1302 -3, 4], [-4, 5], [-5, 6], [-6, 7], [-7], [-2, 1], [-2, -1, 3]]
1303 sage: C.check()
1304 True
1305 sage: all(b.f(i).e(i) == b for i in C.index_set() for b in C
if b.f(i) is not None)
1306 True
1307 sage: all(b.e(i).f(i) == b for i in C.index_set() for b in C
if b.e(i) is not None)
1308 True
1309 sage: G = C.digraph()
1310 sage: G.show(edge_labels=true, figsize=12, vertex_size=1)
}}}
See #6901 for a follow-up to this ticket.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6839#comment:6>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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