Decompostion of tensors over finite fields

Tensor decomposition can be seen as a generalization of the Singular Value Decomposition for matrices, and is of fundamental importance with many applications. In this project we study the decomposition of tensors. Most studies are over the real or complex numbers but this project focusses on finite fields. Working over finite fields allows a combinatorial approach to the decomposition problem. The aim of the project is to find combinatorial invariants for the decomposition/rank of a tensor in tensor spaces over finite fields.