# nLab tensor category

### Context

#### Monoidal categories

monoidal categories

## With traces

• trace

• traced monoidal category?

category theory

# Contents

## Idea

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:

## References

• 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 (82.169.65.155)