Lie Groups

Lie groups are smooth manifolds that also have a compatible group structure. They are frequently used to model scenarios where high degrees of symmetry are inherently present.

A follow up to my previous post on Young's inequality.

Some introductory notes about the definition and geometry of Lie groups, and their analysis.

This post is about the formulation of the dynamics of a rigid body, under rotations, as dynamics on a Lie group. I'm writing this to …