With duals for objects
With duals for morphisms
Special sorts of products
In higher category theory
A tensor category is a category equipped with an operation similar to the tensor product in Ab.
The precise definition associated with the term “tensor category” varies somewhat in the literatur.
It may mean:
- Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, Topics in Lie theory and Tensor categories – 9 Tensor categories, Lecture notes (spring 2009) (pdf web)
Discussion with an eye towards superalgebra is in
Revised on June 19, 2013 20:45:30
by Urs Schreiber