Hi all,
I am attempting to move some code from symmetric_group_algebra to
symmetric_group_representations. We are constructing a unitary DFT for S_n
over F_{q^2} and number fields, and an intermediate step was constructing
unitary rep'ns. There's an alternate way to construct the unitary DFT which
bypasses creating unitary rep'ns, but I think it makes sense to move the
code to symmetric_group_representations.
https://github.com/sagemath/sage/pull/38455
I'd like to create a class called UnitaryRepresentation which extends
SymmetricGroupRepresentation_generic_class which does two things:
1. returns the orthogonal rep'n in the characteristic zero case since these
rep'ns are real, so they are also unitary
2. conjugates the 'specht' rep'n by the appropriate change-of-basis matrix A
The tests are currently failing, and it seems to have something to do with
caching. I'm not entire sure how this works, and just copied the format
from SpechtRepresentation. It may even make more sense to extend one of
these classes.
Error: Failed example:: Exception raised:
<https://github.com/sagemath/sage/actions/runs/12271264502/job/34237850309?pr=38455#step:16:102>Traceback
(most recent call last):
<https://github.com/sagemath/sage/actions/runs/12271264502/job/34237850309?pr=38455#step:16:103>
File "sage/misc/cachefunc.pyx", line 1953, in
sage.misc.cachefunc.CachedMethodCaller.__call__
<https://github.com/sagemath/sage/actions/runs/12271264502/job/34237850309?pr=38455#step:16:104>
return cache[k]
<https://github.com/sagemath/sage/actions/runs/12271264502/job/34237850309?pr=38455#step:16:105>KeyError:
(([3, 2, 1, 4],), ())
Any help would be greatly appreciated.
Thanks,
Jackson
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