A matrix group is a group of invertible matrices. We will start with examples of matrix groups and continue to an introduction of basic Lie group theory in the framework matrix groups. The topics will include real matrix groups, orthogonal groups, topology on a matrix group, matrix exponentiation, manifold structure on a matrix group, and Lie bracket. Prereqs: Math 233, Math 309 and Math 310.
Course Attributes: AS NSM
Section 01Topics in Algebra
INSTRUCTOR: TangView Course Listing