A few classical results on tensor, symmetric and exterior powers
نویسنده
چکیده
0.1. Version . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0.2. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0.3. Basic conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 0.4. Tensor products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 0.5. Tensor powers of k-modules . . . . . . . . . . . . . . . . . . . . . . . . 4 0.6. The tensor algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 0.7. A variation on the nine lemma . . . . . . . . . . . . . . . . . . . . . . . 6 0.8. Another diagram theorem about the nine lemma configuration . . . . . 8 0.9. Ker (f ⊗ g) when f and g are surjective . . . . . . . . . . . . . . . . . . 9 0.10. Extension to n modules . . . . . . . . . . . . . . . . . . . . . . . . . . 15 0.11. The tensor algebra case . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 0.12. The pseudoexterior algebra . . . . . . . . . . . . . . . . . . . . . . . . . 29 0.13. The kernel of Exter f . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 0.14. The symmetric algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 0.15. The exterior algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 0.16. The relation between the exterior and pseudoexterior algebras . . . . . 72 0.17. The symmetric algebra is commutative . . . . . . . . . . . . . . . . . . 74
منابع مشابه
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تاریخ انتشار 2011