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Tag Archive for: Lie groups

lie group physics

When Lie Groups Became Physics

February 8, 2023
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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…
https://www.physicsforums.com/insights/wp-content/uploads/2023/02/lie-group-physics.png 135 240 fresh_42 https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png fresh_422023-02-08 07:44:282023-04-05 20:15:42When Lie Groups Became Physics
Lie Algebra Intro

Lie Algebras Explained: Commutators, SU(2), SO(3), Euc(n)

April 12, 2019
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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…
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lie algebra basics

Learn Lie Algebras: A Walkthrough – The Basics

January 3, 2019
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  Part I: Basics Introduction. This article is meant to provide a quick reference guide to Lie algebras: the terminology, important theorems,…
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A Journey to The Manifold SU(2): Differentiation, Spheres, and Fiber Bundles

October 16, 2017
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3 Comments
Part 2  Differentiation, Spheres, and Fiber Bundles Image source: [24]The special unitary groups play a significant role in the standard…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/manifold1.png 135 240 fresh_42 https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png fresh_422017-10-16 12:06:582025-05-25 06:39:05A Journey to The Manifold SU(2): Differentiation, Spheres, and Fiber Bundles
representations

Linear Representations and Why Precision is Important in Math

November 16, 2016
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2 Comments
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…
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