I'm currently going around in circles with some CombinatorialFreeModule
woes. The previous code for these "alternating seminormal forms works, but
in order to cope with the many variations of seminormal representations
that I decided to implement working I've have had to jazz things up quite a
lot. Now my basic class structure looks something like this:
from sage.combinat.free_module import CombinatorialFreeModule
from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
class A(CombinatorialFreeModule):
def __init__(self, base_ring, basis_keys, prefix='a', **kwargs):
super(A,self).__init__(base_ring, basis_keys, prefix=prefix, **
kwargs)
class Element(CombinatorialFreeModule.Element):
pass
class B(A):
def __init__(self, base_ring, basis_keys, prefix='b', **kwargs):
super(B,self).__init__(base_ring, basis_keys, prefix=prefix, **
kwargs)
class C(B):
def __init__(self, shape, prefix='c', **kwargs):
base_ring=PolynomialRing(Integers(), 'q')
super(B,self).__init__(base_ring, shape.standard_tableaux(), prefix=
prefix, **kwargs)
This simplified code works fine. For example,
sage: C(Partition([3,2])).an_element()
2*c[[[1, 2, 5], [3, 4]]] + 3*c[[[1, 3, 4], [2, 5]]] + 2*c[[[1, 3, 5], [2, 4
]]]
Unfortunately my real code does not work, having issues like:
sage: rep=SeminormalRepresentation([2,1]); rep
SeminormalRepresentation([2,1]) # seems to work OK
sage: rep.an_element() # try to construct an element
<repr(<sage.algebras.iwahori_hecke_algebras.
iwahori_hecke_algebra_representations.SeminormalRepresentation_with_category
.element_class at 0x119a88c80>) failed: AttributeError:
'SeminormalRepresentation_with_category' object has no attribute '_prefix'>
sage: rep(StandardTableau([[1,2],[3]]))
AttributeError Traceback (most recent call last)
...
AttributeError: 'SeminormalRepresentation_with_category' object has no
attribute '_basis_keys'
Does anyone have an idea of what is going wrong. Part of the issue might be
all of the super calls, but I tried taking though ut and explcitly calling
the previous class (they are linearly ordered), but this doesn't help.
For anyone feeling masochistic, the full code is at trac:17303
<http://trac.sagemath.org/ticket/17303> (it uses 6.5beta0)
Andrew
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