#15347: yamanouchi.py: what is it for?
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Reporter: darij | Owner:
Type: defect | Status: new
Priority: minor | Milestone: sage-5.13
Component: | Keywords: yamanouchi, dyck words,
combinatorics | littlewood-richardson, combinat
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Here is the *whole* content of `sage/combinat/yamanouchi.py`:
{{{
r"""
Yamanouchi Words
A right (respectively left) Yamanouchi word on a completely ordered
alphabet, for instance [1,2,...,n], is a word math such that any
right (respectively left) factor of math contains more entries math
than math. For example, the word [2, 3, 2, 2, 1, 3, 1, 2, 1, 1] is
a right Yamanouchi one.
The evaluation of a word math encodes the number of occurrences of
each letter of math. In the case of Yamanouchi words, the
evaluation is a partition. For example, the word [2, 3, 2, 2, 1, 3,
1, 2, 1, 1] has evaluation [4, 4, 2].
Yamanouchi words can be useful in the computation of
Littlewood-Richardson coefficients `c_{\lambda, \mu}^\nu`.
According to the Littlewood-Richardson
rule, `c_{\lambda, \mu}^\nu` is the number of skew tableaux
of shape `\nu / \lambda` and evaluation `\mu`,
whose row readings are Yamanouchi words.
"""
}}}
The "math" looks like the text has been copypasted from some website; this
is embarassing... Is anyone working on the file?
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Ticket URL: <http://trac.sagemath.org/ticket/15347>
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