Dear Travis!
Thank you for the hint! I got a bit further, but I'm still stuck. Here is
a minimal non-working example.
I suspect that the problem is my not understanding of the hint in
IndexedFreeModuleElement.__init__:
-------------------------------
"""
Create a combinatorial module element. This should never be
called directly, but only through the parent combinatorial
free module's :meth:`__call__` method.
-------------------------------
Many thanks for all help!
Martin
"""
sage: S = SymmetricFunctions(QQ)
sage: S.inject_shorthands()
sage: t = tensor([s[1,1], h[2]])
sage: x = TwoPositionsElement(t)
sage: 2*x
"""
class TwoPositionsElement(CombinatorialFreeModule.Element):
def __init__(self, x):
self._x = x
CombinatorialFreeModule.Element.__init__(self,
TwoPositions(*(self._x.parent()._sets)),
x._monomial_coefficients)
from sage.combinat.free_module import CombinatorialFreeModule_Tensor
class TwoPositions(CombinatorialFreeModule_Tensor):
def __init__(self, *modules):
CombinatorialFreeModule_Tensor.__init__(self, modules, category =
HopfAlgebrasWithBasis(QQ).TensorProducts())
def __repr__(self):
return "TwoPositions in %s"%(self._sets,)
Element = TwoPositionsElement
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