Math 122 Notes: Modules and Representation Theory
نویسنده
چکیده
1. Modules: 4/2/13 1 2. Quotient Modules: 4/4/13 3 3. The Isomorphism Theorems: 4/9/13 5 4. Universal Properties: 4/11/13 7 5. The Tensor Product: 4/16/13 10 6. More Tensor Products: 4/18/13 12 7. Exact Sequences: 4/23/13 14 8. Projective and Injective Modules: 4/25/13 17 9. Finitely Generated Modules Over a Euclidean Domain: 4/30/13 19 10. Finitely Generated Modules Over a PID: 5/2/13 21 11. The Jordan Normal Form: 5/7/13 23 12. Maschke’s Theorem: 5/9/13 25 13. Schur’s Lemma and k[G]-modules: 5/14/13 27 14. Characters: 5/16/13 29 15. Orthogonality of Characters: 5/21/13 30 16. Character Tables: 5/23/13 32 17. Induction of Characters: 5/28/13 33 18. Different Directions in Representation Theory: 5/30/13 35
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