# Tensor Product of Polygonal Cell Complexes

## TL;DR

This paper introduces a new tensor product operation for polygonal cell complexes, explores its properties, and investigates how it interacts with link graphs, symmetries, and factorization.

## Contribution

It presents the first formal definition of tensor product for polygonal cell complexes and analyzes its algebraic and symmetry properties.

## Key findings

- Tensor product interacts well with link graphs.
- Unique factorization property established.
- Symmetries of tensor products studied.

## Abstract

We introduce the tensor product of polygonal cell complexes, which interacts nicely with the tensor product of link graphs of complexes. We also develop the unique factorization property of polygonal cell complexes with respect to the tensor product, and study the symmetries of tensor products of polygonal cell complexes.