#13793: Hopf algebra: FQSym, WQSym, PQSym, PBT
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Reporter: elixyre | Owner: sage-combinat
Type: task | Status: new
Priority: minor | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: hopf | Merged in:
algebra,sagedays65 | Reviewers:
Authors: Jean-Baptiste | Work issues:
Priez | Commit:
Report Upstream: N/A | 0e1c0f860dd6eedda803f2d853b5efcc90b342fa
Branch: | Stopgaps:
u/kdilks/ticket/13793 |
Dependencies: #10963, #15573, |
#15578, #15595, #15611, #15597 |
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Comment (by kdilks):
This is a very large and ambitious undertaking, so we're going to try and
split it up into more manageable tickets, adding only a few features at a
time. I just want to make sure that I have the right idea about what order
things should be tackled in, dependencies, and that they're broken up into
small enough pieces before I create new tickets.
- Adding 'connected' to graded_hopf_algebras_with_basis.py as one ticket
- Dendriform_algebras/dendriform_coalgebras/bidendriform_bialgebras as one
ticket.
- Operator_tools.py as one ticket.
- Ordered_set_partition, packed_words, and quasi_shuffle as one ticket.
I believe those four tickets would all be independent of each other, and
all further features will depend on them.
- Next would be implementing the framework which within this ticket is
located in combinat/hopf_algebras/categories/ (dialgebras, diese product,
polynomial realization, quadrialgebras, scalar_product). This would
probably be broken up into a few tickets, but I don't know enough about
them yet to know which ones go together).
Once all of the previous framework has been added, then we can implement
individual CHAs, which would probably each be their own ticket, and rely
on all the previous tickets.
- Implementations for FQSym and WQSym are included in this ticket.
- PBT already has its own ticket (#13855) and I believe it includes an
implementation.
- There are a few more where code exists as part of the external CHA
package, but have not yet been integrated into any Trac ticket (FSym,
PQSym, WSym).
--
Ticket URL: <http://trac.sagemath.org/ticket/13793#comment:25>
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