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