#15476: Involutions on NSym and QSym part I
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Reporter: darij | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.13
Component: combinatorics | Resolution:
Keywords: ncsf, nsym, qsym, sage- | Merged in:
combinat, symmetric functions, compositions | Reviewers:
Authors: Darij Grinberg | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Description changed by darij:
Old description:
> This got much longer than I expected it to be because there are three
> "classical" involution on each of NSym and QSym and each can be computed
> on various bases. I ended up implementing only two of the involutions
> (star=rho and psi), leaving out omega (which is just a rescaled antipode)
> for part II.
>
> The patch also fixes some doc, moves a reference, and changes various
> invocations of `Composition(spam)` to `Compositions()(spam)` for speed
> reasons (when `spam` really is just a list). Could a `_Compositions`
> (akin to `_Partitions`) be of use?
New description:
This got much longer than I expected it to be because there are three
"classical" involution on each of NSym and QSym and each can be computed
on various bases. I ended up implementing only two of the involutions
(star=rho and psi), leaving out omega (which is just a rescaled antipode)
for part II.
The patch also speeds up NSym's Verschiebung on certain bases, fixes some
doc, moves a reference, and changes various invocations of
`Composition(spam)` to `Compositions()(spam)` for speed reasons (when
`spam` really is just a list). Could a `_Compositions` (akin to
`_Partitions`) be of use?
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Ticket URL: <http://trac.sagemath.org/ticket/15476#comment:1>
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