#14775: Symmetric functions: Kronecker product over any ring; Kronecker
coproduct;
antipode over any ring; forgotten basis over any ring; Witt basis;
Frobenius and Verschiebung; doc fixes
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Reporter: darij | Owner: sage-
Type: enhancement | combinat
Priority: major | Status:
Component: combinatorics | needs_work
Keywords: symmetric function, combinat, | Milestone: sage-5.12
kronecker product, days49 | Resolution:
Authors: Darij Grinberg | Merged in:
Report Upstream: N/A | Reviewers: Travis
Branch: | Scrimshaw
Dependencies: | Work issues:
| Commit:
| Stopgaps:
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Comment (by darij):
Thanks!
About {{{(-1)**a * x}}} vs. {{{x if a % 2 == 0 else -x}}}: I've changed it
to the former (= more intuitive) syntax now in the Verschiebung method. I
was getting a speedup from the latter syntax in a different method (omega
or antipode, I don't remember), which made me adapt it as a general
tactic. I guess Python is smarter than that, though. Either way the time
difference is small and tends to hide behind noise (my firefox is
running), and I'm not sure whether it is due to the exponentiation itself
or to the fact that the former syntax coerces {{{(-1)**a}}} into the
parent of {{{x}}} and then does multiplication within that parent, while
the latter only ever uses negation in the parent of {{{x}}}.
Uploading file now...
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Ticket URL: <http://trac.sagemath.org/ticket/14775#comment:41>
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