How do I take a Grand sum of a nth dimensional matrix
I'm new to sage so cut me some slack if what I ask sounds uneducated. currently what I'm trying to do is take the tensor product of [z^2,c] over and over than take the grand sum. so like the sum of all elements in the nth dimensional matrix [z^2,c]⊗[z^2,c]⊗[z^2,c]⊗,.... Lim n->∞ oh also I need help with using tensor products yeah I just thought I should ask about the grand sum first, sorry if I sound dumb.
Please give us a chance to have a question. That
[z^2, c]is as good as[a, b]or[x, y]- we have no idea where these elements are living in. I suppose they live in an algebra $A$, please declare it. Then we are repeatedly building tensor products. This works for finitely many factors, so $A$, $A\otimes A$, $A\otimes A\otimes A$, and so on make sense. Taking infinitely many factors does not work inside algebra. (We need maybe some norm or Hilbert structure to be able to write an infinite tensor product. Do not expect that sage or other computer algebra program will initialize such an object by a default construction.) Then we take a "grand sum". What is this, please give a reference. (Book or wiki page or article.) It is no problem how it sounds, just give enough details...