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Qmechanic
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  1. On p. 67 Tseng means a tensor product of representations.

  2. On p. 70 Tseng means a direct product of groups.

Note however that the actual statement about the Lorentz group is wrong/imprecise as explained in e.g. this Phys.SE post.

Concerning direct product vs. tensor product of groups, see also my related Phys.SE answer here.

Qmechanic
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