#18597: Implement m-Cambrian lattices (using delta sequences)
-------------------------------------+-------------------------------------
Reporter: nathanwilliams | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: combinatorics | Resolution:
Keywords: | Merged in:
sagedays64.5,catalan,coxeter,cambrian| Reviewers: Christian Stump
Authors: Nathan Williams | Work issues:
Report Upstream: N/A | Commit:
Branch: | 49aab49c1afb45314bc444114c8385bc557d5ab5
u/stumpc5/implement_m_cambrian_lattices__using_delta_sequences_| Stopgaps:
Dependencies: |
#18590,#18610,#11187 |
-------------------------------------+-------------------------------------
Comment (by chapoton):
Here is the problem (sitting on this branch):
{{{
sage: a2=CoxeterGroup(["A",2])
sage: [hash(u) for u in a2.simple_reflections()]
[-6264216653212800886, 172961895888939822]
sage: [hash(u) for u in a2.reflections_from_w0()]
[-6264216653212800886, 6091272663176086308, 172961895888939822]
sage: [hash(u) for u in a2.inversion_sequence([1,2,1])]
[-3594435451552999106, -3594435451546834518, 3594435451550176244]
sage: [u for u in a2.inversion_sequence([1,2,1])]
[
[-1 1] [ 0 -1] [ 1 0]
[ 0 1], [-1 0], [ 1 -1]
]
sage: [u for u in a2.reflections_from_w0()]
[
[-1 1] [ 0 -1] [ 1 0]
[ 0 1], [-1 0], [ 1 -1]
]
sage: a2.reflections_from_w0()==a2.inversion_sequence([1,2,1])
True
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/18597#comment:23>
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