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

20 items under this folder.

Jun 03, 2026
0.0 Exercise
Jun 03, 2026
0.1 An introduction to manifolds
Jun 03, 2026
1 Introduction
Jun 03, 2026
2.1 Existence of (generalized) weight space
Jun 03, 2026
2.2 Engel's theorem
Jun 03, 2026
3 The Killing form - describe solvable and semi-simple
Jun 03, 2026
4.1 Cartan subalgebra
Jun 03, 2026
4.3 Root system
Jun 03, 2026
4.4 Weyl chambers
Jun 03, 2026
5.1 Finite dimensional representations of sl(2, C)
Jun 03, 2026
5.2 Representation theory of semi-simple Lie algebra
Jun 03, 2026
6.2 Relate Lie algebra with Lie group
Jun 03, 2026
6.3 Basic theorems in the Lie theory
Jun 03, 2026
6.5 Lie algebra - Lie group correspondence
Sep 05, 2025
4.5 Dynkin diagram
Aug 07, 2025
2 Properties of solvable and nilpotent Lie algebra
Aug 07, 2025
4.2 The structure of finite dimensional complex semi-simple Lie subalgebra
Jun 18, 2025
6.1 Basic setup for Lie group
Apr 30, 2025
0.2 Differential
Apr 30, 2025
6.4 Haar measure