Tag Archive for: Lie groups

When Lie Groups Became Physics
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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 Algebras Explained: Commutators, SU(2), SO(3), Euc(n)
A Lie algebra is the vector space of infinitesimal generators attached to a Lie group at its identity element, equipped with a bilinear antisymmetric commutator…

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…
