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.

The goal of this post is to make sense of the notion of the "product integral". Typically this is described with the analogy: …
9 min read Expository

A follow up to my previous post on Young's inequality.
Last updated on 10 min read expository

Some introductory notes about the definition and geometry of Lie groups, and their analysis.
Last updated on 19 min read expository

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 …
Last updated on 9 min read expository