notes / Studies in Algebra and Group Theory / chapter 5: Multilinear Algebra / From my notebooks
N26 Tensor Products
Given two vector spaces , we form .
linearizes diffeomorphisms of 4D manifolds for space-time: linearization = yay?
A bilinear map factors as
with linear. (Preserve structure because ??)
Theorem N26.1.
for finite-dimensional .
Proof outline. DO LATER. ∎