Lie algebra Articles

Tag Archive for: Lie algebra

lie group physics

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 Intro

What is Lie algebra? A 5 Minute Introduction

/
0 Comments
Definition/Summary A Lie algebra ("Lee") is a set of generators of a Lie group. It is a basis of the tangent space around a Lie group's identity element,…
lie algebra representations

Lie Algebras: A Walkthrough The Representations

/
1 Comment
  Part III: Representations  10. 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

/
2 Comments
  Part II: Structures5. Decompositions.Lie algebra theory is to a large extend the classification of the semisimple Lie algebras…
lie algebra basics

Learn Lie Algebras: A Walkthrough The Basics

/
7 Comments
  Part I: Basics 1. 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

/
3 Comments
Part 1  Representations Image source: [23]  6. Some useful bases of ##\mathfrak{su}(2,\mathbb{C})## Notations can differ from author…
supergravity

Emergence From the Superpoint

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