On semi-tensor product of matrices and its applications
type: Item
instance of: scholarly article
title: On semi-tensor product of matrices and its applications
zbMATH Open document ID: 1059.15033
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2004-09-22T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 2101809
zbMATH Keywords: semi-tensor product
zbMATH Keywords: connection
zbMATH Keywords: Christoffel symbol
zbMATH Keywords: matrix products
zbMATH Keywords: Lie algebras
author: Daizhan Cheng
author: Lijun Zhang
reviewed by: Yueh-er Kuo
MaRDI profile type: Publication
full work available at URL: s10255-003-0097-z
OpenAlex ID: W2024816066
cites work: Q4174811
cites work: Semi-tensor product of matrices and its application to Morgen's problem
cites work: Q4040931
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Q4231779
DOI: 10.1007/S10255-003-0097-Z
description: scientific article; zbMATH DE number 2101809