On semi-tensor product of matrices and its applications
Similarly to the left semi-tensor product the authors introduce the right semi-tensor product. Certain properties are presented. The major differences between the left and the right semi-tensor products are discussed. Then two new applications are investigated. The first one is its application to the connection. The evaluation of a connection is expressed by a matrix multiplication. The Christoffel symbols are arranged as a matrix. Its conversion under a coordinate transformation is presented by matrix products. Some of its applications are also revealed there. Then the authors consider its applications to finite-dimensional Lie algebras. Certain properties of the algebra are described by matrix forms.
scientific article; zbMATH DE number 2101809