#15476: Involutions on NSym and QSym part I
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   Reporter:  darij      |            Owner:
       Type:             |           Status:  new
  enhancement            |        Milestone:  sage-5.13
   Priority:  major      |         Keywords:  ncsf, nsym, qsym, sage-
  Component:             |  combinat, symmetric functions, compositions
  combinatorics          |          Authors:  Darij Grinberg
  Merged in:             |  Report Upstream:  N/A
  Reviewers:             |           Branch:
Work issues:             |     Dependencies:
     Commit:             |
   Stopgaps:             |
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 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?

--
Ticket URL: <http://trac.sagemath.org/ticket/15476>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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