yhyquest

Home

❯

MATH

❯

Lie group and Lie algebra

❯

Nodes

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


                                          Created with Quartz v4.5.0 © 2026

                                          • GitHub