#15949: Involutions on NSym and QSym part II
-------------------------------------+-------------------------------------
Reporter: darij | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.2
Component: combinatorics | Keywords: partitions,
Merged in: | symmetric functions, NSym, QSym,
Reviewers: | NCSF, Kronecker product,
Work issues: | Authors: Darij Grinberg
Commit: | Report Upstream: N/A
13e33bf1e777054945e4f2029ca7fb5435347132| Branch: public/combinat
Stopgaps: | /invol-nsym-2
| Dependencies:
-------------------------------------+-------------------------------------
This continues #15476. It is not my last word on NSym (I'm still planning
to implement Eulerian and other idempotents -- but this is waiting on the
merge of #15650 and not much of a priority anyway).
The following has been implemented:\\
- the omega involution on NSym and QSym (and alternative syntaxes for that
on Sym);\\
- fixes on some NSym and QSym methods to return values in correct
parents;\\
- Verschiebung on the elementary basis of NSym (it would formerly use
coercion for that, but there's a simple formula);\\
- a way to compute the internal product on the Psi basis of NSym (which is
very fast if the compositions have small length, but otherwise is quite
wasteful -- hence not made a default);\\
- immaculate functions in NSym indexed by arbitrary integer vectors (not
just compositions);\\
- the reduced Kronecker product (formerly in #15825, now moved here and
fixed);\\
- an analogue thereof (but not a lift) on NSym;\\
- the t-completion of a partition (formerly in #15825);\\
- improvements on the to_dyck_word method on partitions (formerly in
#15825).
--
Ticket URL: <http://trac.sagemath.org/ticket/15949>
Sage <http://www.sagemath.org>
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