#10305: Add rings for the center of the symmetric group algebras
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Reporter: mguaypaq | Owner:
mguaypaq
Type: enhancement | Status:
needs_work
Priority: minor | Milestone:
sage-5.8
Component: combinatorics | Resolution:
Keywords: combinatorics, rings, symmetric functions | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Mathieu Guay-Paquet | Merged in:
Dependencies: | Stopgaps:
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Comment (by mguaypaq):
It's been a while, but my recollection is that the code works most of the
time, but several doctests are missing before it's acceptable. Also the
performance is not great.
To fix the problems with the code (mostly some coercions and performance
issues), I think a better architecture would be needed. In particular, not
using {{{CombinatorialFreeModule}}} would probably be better. We also have
a better understanding of the mathematics behind the various changes of
basis between symmetric functions and the Farahat-Higman algebra now, and
this could be used for the code. I tried doing this a few times, but never
got to the end.
Do you have a need for this functionality? If so, I'd be happy to
collaborate or let you take over. Otherwise, I think this ticket can be
safely ignored and/or closed for now.
Cheers,[[BR]]
Mathieu
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10305#comment:4>
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