Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Tensor product of vector spaces

  1. Feb 4, 2013 #1


    User Avatar
    Gold Member

    I'm trying to understand tensor product of vector spaces and how it is done,but looks like nothing that I read,helps!
    I need to know how can we achieve the tensor product of two vector spaces without getting specific by e.g. assuming finite dimensions or any specific underlying field.
    Another thing,is it possible to define it with no reference to any basis of the vector spaces?
  2. jcsd
  3. Feb 4, 2013 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    This thread should be useful. See in particular posts 1,2,8,9. Note that when quasar987 corrects a mistake I made in post 1, he's referring to a mistake that was later fixed in an edit. So post 1 should be OK.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook