Quiver varieties and finite dimensional representations of quantum affine algebras
作者： Hiraku Nakajima
DOI: 10.1090/S0894-0347-00-00353-2
关键词: Current algebra 、 Quiver 、 Quantum affine algebra 、 Pure mathematics 、 Equivariant map 、 Affine geometry 、 Subvariety 、 Algebra 、 Affine representation 、 Homomorphism 、 Mathematics
摘要: Introduction 145 1. Quantum affine algebra 150 2. Quiver variety 155 3. Stratification of M0 163 4. Fixed point subvariety 167 5. Hecke correspondence and induction quiver varieties 169 6. Equivariant K-theory 174 7. Freeness 178 8. Convolution 185 9. A homomorphism Uq(Lg)→ KGw×C ∗ (Z(w))⊗Z[q,q−1] Q(q) 192 10. Relations (I) 194 11. (II) 202 12. Integral structure 214 13. Standard modules 218 14. Simple 224 15. The Ue(g)-module 233 Added in proof 236 References
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