Canonical Bases of Loop Algebras via Quot Schemes
نویسنده
چکیده
0. Introduction 1 1. Loop algebras and quantum groups. 3 2. Coherent sheaves and Quot schemes 6 3. Transfer functors 12 4. Induction and restriction functors 15 5. The algebra UA 22 6. Proof of Theorem 5.1 i) 28 7. Harder-Narasimhan filtration 32 8. Some Lemmas. 34 9. Proof of Theorem 5.1.ii) (finite type) 38 10. Proof of Theorem 5.1ii) (tame type) 41 11. Corollaries 48 12. Canonical basis of Uv(Ln) 50 13. Examples and conjectures. 57 14. Appendix 60 References 65
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