I am confused in the notation on page 67 and page 70 a text (http://www-pnp.physics.ox.ac.uk/~tseng/teaching/b2/b2-lectures-2018.pdf), whether it's talking about a direct product or an outer product:
On page 67, it mentioned that
"you can take a direct product of two $j = 1/2$ representations"
and build representations of higher j.
On page 70, it mentioned
"we can think of [the Lorentz Group] as the direct product $SU(2) \times SU(2)$."
In each of the above, does the author mean Direct Product or Tensor Product?