3
$\begingroup$

Let $T_1, T_2$ be two semisimple tensor categories over a field $k$ (i.e. symmetric rigid monoidal abelian $k$-linear). Then is the Deligne product, $T_1\otimes T_2$ also a $k$-tensor category?

Thanks!

$\endgroup$

1 Answer 1

4
$\begingroup$

Yes, it is. In the semi-simple case Deligne product is very explicit, see for example BaKi Definition 1.1.15

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.