Lie algebra Articles

Tag Archive for: Lie algebra

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…

Lie Algebra Intro

Lie Algebra Basics: Definitions, Equations & Examples

April 12, 2019

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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…

lie algebra representations

Learn Lie Algebras: A Walkthrough – The Representations

January 25, 2019

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Part III: Representations Sums and Products. Frobenius began in ##1896## to generalize Weber's group characters and soon investigated…

Lie Algebra Structure

Learn Lie Algebras: A Walkthrough – The Structures

January 7, 2019

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Part II: StructuresDecompositions.Lie algebra theory is to a large extend the classification of the semisimple Lie algebras which…

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,…

manifold2

A Journey to The Manifold SU(2): Representations

October 20, 2017

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Part 1 Image source: [23] Some useful bases of ##\mathfrak{su}(2,\mathbb{C})## Notations can differ from author to author: the…

supergravity

Emergence From the Superpoint

August 22, 2015

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In the previous article we saw that the generalization of super-Lie algebras to homotopy super-Lie n-algebras (super L-infinity algebras)…