Simple Groups, Lie Groups, and the Search for Symmetry - Part 2

Explore the fascinating history of simple groups, Lie groups, and symmetry in mathematics in this 26-minute lecture. Delve into the 19th-century shift of group theory from number theory to geometry, examining the search for simple groups and symmetry in various tessellations. Learn about Sophus Lie's introduction of continuous groups and discover remarkable mathematical objects like the Golay code, Mathieu groups, and exceptional Lie groups. Gain insights into the classification of finite simple groups, a major achievement in 20th-century mathematics, and understand the culmination of this field with the discovery of the Monster group by Fisher and Greiss.

Simple groups, Lie groups, and the search for symmetry II | Math History | NJ Wildberger