#17560: Implement (quantum) Mobius algebras
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.9
Component: combinatorics | Resolution:
Keywords: posets, mobius | Merged in:
algebra | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | ae1e87689785a4b5e3ab96c2081c896bda3a151d
public/combinat/mobius_algebras-17560| Stopgaps:
Dependencies: |
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Comment (by kdilks):
Still need to play around with the code, once I wrap my head around
everything, but a few preliminary comments:
* E and C bases for quantum mobius algebras just say that they're bases
for mobius algebras in the docstring (KL does specify quantum mobius
algebra).
* Throw in the word 'principal' when referring to {{{I_x}}} and {{{F^x}}}
being the order ideal and filter associated to x, just to make it clear.
* I think the assumptions related to {{{kazhdan_lusztig_polynomial()}}}
need to be cleaned up some. The docstring says it's defined for a graded,
bounded poset. The paper makes me think it should only be defined for
geometric lattices (ie, corresponding to a matroid). And the code only
checks to see if the poset is ranked.
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Ticket URL: <http://trac.sagemath.org/ticket/17560#comment:8>
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