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Folder: MATH/Lie-group-and-Lie-algebra/Nodes

20 items under this folder.

Dec 19, 2025
5.1 Finite dimensional representations of sl(2, C)
Dec 17, 2025
5.2 Representation theory of semi-simple Lie algebra
Sep 05, 2025
4.3 Root system
Sep 05, 2025
4.4 Weyl chambers
Sep 05, 2025
4.5 Dynkin diagram
Aug 07, 2025
1 Introduction
Aug 07, 2025
2 Properties of solvable and nilpotent Lie algebra
Aug 07, 2025
3 The Killing form - describe solvable and semi-simple
Aug 07, 2025
4.1 Cartan subalgebra
Aug 07, 2025
4.2 The structure of finite dimensional complex semi-simple Lie subalgebra
Jul 04, 2025
2.1 Existence of (generalized) weight space
Jul 04, 2025
6.5 Lie algebra - Lie group correspondence
Jun 18, 2025
0.0 Exercise
Jun 18, 2025
6.1 Basic setup for Lie group
Jun 18, 2025
6.3 Basic theorems in the Lie theory
Jun 17, 2025
0.1 An introduction to manifolds
Jun 17, 2025
2.2 Engel's theorem
Jun 17, 2025
6.2 Relate Lie algebra with Lie group
Apr 30, 2025
0.2 Differential
Apr 30, 2025
6.4 Haar measure