The Deligne Tensor Product of Abelian Categories is an operation that lets us combine two or more Abelian Categories together in a very special way, so that they can act like one category. Abelian Categories are a type of group of objects in mathematics and the Deligne Tensor Product lets us link different groups together. By linking them together, it is possible to understand how the groups interact with one another, and how they can be used together to solve math problems.