1. By forming Kronecker products of matrices from the Paley construction and the 2? matrix, 2. The tensor product, outer product and Kronecker product all convey the same general idea. 3. Where \ otimes represents the Kronecker product . 4. Then, the matrix describing the tensor product is the Kronecker product of the two matrices. 5. By taking Kronecker products of with itself repeatedly, one may construct all higher irreducible representations. 6. The Kronecker product of the two gives 7. The outer product is simply the Kronecker product , limited to vectors ( instead of matrices ). 8. Thus the components of the tensor product of multilinear forms can be computed by the Kronecker product . 9. It is possible to start with multiple Kronecker products of totally symmetric second rank Lorentz tensors,. 10. Essentially the Tracy Singh product is the pairwise Kronecker product for each pair of partitions in the two matrices.