Suppose for some p and q we have a manifold
Sage: p=1
Sage: q=2
Sage: M = Manifold((2*p*q), 'M', field='complex')
Sage: U = M.open_subset('U')
Sage: x = U.chart(names=tuple('x_%d' % i for i in range(2*p*q)))
Sage: eU = x.frame()
and some differential forms
Sage: d = {(i): var("d_{}".format(i)) for i in range(2*p*q)}
Sage: for i in range(2*p*q):
Sage: d[i] = M.diff_form(i)
I want to construct and/or inspect components of these differential forms in a systematic way, which is to say I want to be able to iterate over the components. So for example, one way in which I've tried to do this is to create lists.
For example, if we let
Sage: R = [eU, 0, 1]
I would want to say
Sage: d[2]R = 1
but this gives me a syntax error.
I've also tried something like
Sage: S = [0, 1]
Sage: d[2][eU, :]S = 1
but again I get a syntax error.
