# Examples of (non)-braided tensor categories

## TL;DR

This paper introduces six non-braidable tensor categories extending comodules over super-group algebras and two braided categories with only trivial braiding, expanding the landscape of tensor category examples.

## Contribution

It provides new explicit examples of non-braidable and trivial-braiding tensor categories, enriching the classification and understanding of tensor categories.

## Key findings

- Six non-braidable tensor categories introduced
- Two braided categories with only trivial braiding
- Extensions of comod(H) for super-group algebra

## Abstract

Are introduced six examples of non-braidable tensor categories which are extensions of the category Comod(H), for H a super-group algebra; and two examples of braided categories where the only possible braiding is the trivial braiding.