#18050: Implement dual equivalence graphs
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: dual equivalence | Merged in:
graphs | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | 274a0187d4382d8fd24bf6a72f0b54bb5a64b580
public/crystals/dual_equivalence-18050| Stopgaps:
Dependencies: |
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Comment (by darij):
Replying to [comment:11 tscrim]:
> The `\varepsilon_j(b) = \varphi_j(b)` comes from the crystal axiom
`\varphi_j(b) = \varepsilon_j(b) + wt(b)` (`wt` is the weight) and we are
looking at the `wt(b) = 0` elements. Her `\varepsilon` is the same as mine
and the `\delta` is something related but slightly different (see towards
the beginning of section 2).
Oh. Is `\delta_j(b)` the same as your `-\varphi_j(b)`? And what does the
`= 0 or 1` part of Assaf's (4.1) correspond to in your definition?
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Ticket URL: <http://trac.sagemath.org/ticket/18050#comment:13>
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