代数学で,「群の表現論」をYoutube動画で学ぶ
Representation Theory (群の表現論)を学ぶための,Youtube講義動画。
前半
- 1. RT1: Representation Theory Basics
- 2. RT2: Unitary Representations
- 3. RT3. Equivalence and Examples (Expanded)
- 4. RT4.1. Constructions from Linear Algebra (Expanded)
- 5. RT4.1.1: Complex Conjugate Representations
- 6. RT4.2. Schur's Lemma (Expanded)
- 7. RT5. Mostly Exercises (Expanded)
- 8. RT6. Representations on Function Spaces
後半
- 9. RT7.1: Finite Abelian Groups: Character Orthogonality
- 10. RT7.2. Finite Abelian Groups: Fourier Analysis
- 11. RT7.3. Finite Abelian Groups: Convolution
- 12. RT8.1. Schur Orthogonality Relations
- 13. RT8.2. Finite Groups: Classification of Irreducibles
- 14. RT8.3. Finite Groups: Projection to Irreducibles
- 15. RT9. Basic Tensor Analysis
- 16. RT9.1. Application of Tensors: Normal Modes
- 17. Character Tables for S4 and A4
- 18. Character Tables for S5 and A5