Options
Commutators in matrix algebra
Author
Ng, Wan Har
Supervisor
Zhao, Dongsheng
Abstract
Commutators are elements of the form ab - ba or aba-1b-1. The identities of commutators are important tools iil the stud11 of various algebraic structures, especially in groups and rings. Certain properties of commutators are useful in revealing some underlying relationships between the elements in non-commutative structures. In this project. we shall examine the applications of commutators that are formed bv matrices. The conditions for a matrix to be expressed as a commutator shall be studied. We shall then discuss results and theorems that deal with the two types of commutators. These discussions focus on simultaneous triangularization of sets of matrices and the commutativity of the commutator with one of its factors.
Date Issued
1998
Call Number
QA188 Ng
Date Submitted
1998