Tag Archive for: Lie groups

When Lie Groups Became Physics
/
0 Comments
Abstract
We explain by simple examples (one-parameter Lie groups), partly in the original language, and along the historical papers of Sophus Lie, Abraham…

Lie Algebra Basics: Definitions, Equations & Examples
Definition / Summary
A Lie algebra (pronounced "Lee") is the tangent-space algebra of a Lie group at its identity element. Concretely, it is a vector…

Learn Lie Algebras: A Walkthrough – The Basics
Part I: Basics
Introduction.
This article is meant to provide a quick reference guide to Lie algebras: the terminology, important theorems,…

A Journey to The Manifold SU(2): Differentiation, Spheres, and Fiber Bundles
Part 2
Differentiation, Spheres, and Fiber Bundles
Image source: [24]The special unitary groups play a significant role in the standard…

Linear Representations and Why Precision is Important in Math
First of all: What is a representation? It is the description of a mathematical object like a Lie group or a Lie algebra by its actions on another space…
