Simple Groups, Lie Groups, and the Search for Symmetry I - Math History - NJ Wildberger
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
Explore the fascinating history of group theory and its evolution from number theory to describing geometric symmetry in this comprehensive mathematics lecture. Delve into the search for simple groups, symmetry in various types of tessellations, and the introduction of Lie groups by Sophus Lie. Discover remarkable mathematical objects like the Golay code, Mathieu groups, and exceptional Lie groups, culminating in the Monster group. Learn about the classification of finite simple groups, a pinnacle achievement in 20th-century mathematics, while gaining insights into polygons, frieze groups, finite simple groups, and projective linear groups.
Syllabus
Introduction
Polygons
frieze groups
finite simple groups
projective linear groups
Taught by
Insights into Mathematics
Related Courses
An Introduction to smooth ManifoldsIndian Institute of Science Bangalore via Swayam An Introduction to Smooth Manifolds
NPTEL via YouTube Geometrical Anatomy of Theoretical Physics
Friedrich–Alexander University Erlangen–Nürnberg via YouTube The Ubiquity of ADE Graphs, and the Mutation and Numbers Games - Math Seminars
Insights into Mathematics via YouTube Finite-Dimensional Representations of the Queer Lie Supergroup Q-N
Fields Institute via YouTube