While this question can be answered in greater generality, I'm specifically writing a program in which I need to systematically define and label a bunch of differential forms.
Suppose I have the set up
M = manifold(2, 'M')
U = M.open_subset('U')
c_xy.<x,y> = U.chart()
eU = c_xy.frame()
Now I want to have a bunch of differential forms indexed by 2 numbers (as they will be going into a matrix).
Instead of writing them all out by hand as
a_00 = M.diff_form(1, name='a_00')
a_01 = M.diff_form(1, name='a_01')
...
a_33 = M.diff_form(1, name='a_33')
Is there any way I can write a for loop to build these for me? I've seen a similar question asked here: https://ask.sagemath.org/question/7925/a-list-of-symbolic-variables/ but I'm not sure how to extend to the 2-index case. Also, the linked example works for symbols, but I don't know if this can be made to work for defining a list of objects like differential forms.
