Geometric construction of representations of affine algebras
| dc.creator | Nakajima, Hiraku | |
| dc.date | 2002-12-01 | |
| dc.date.accessioned | 2026-07-07T04:54:10Z | |
| dc.date.available | 2026-07-07T04:54:10Z | |
| dc.description | Let $Γ$ be a finite subgroup of $\SL_2(\C)$. We consider $Γ$-fixed point sets in Hilbert schemes of points on the affine plane $\C^2$. The direct sum of homology groups of components has a structure of a representation of the affine Lie algebra $\ag$ corresponding to $Γ$. If we replace homology groups by equivariant $K$-homology groups, we get a representation of the quantum toroidal algebra $\Ut$. We also discuss a higher rank generalization and character formulas in terms of intersection homology groups. | |
| dc.identifier | https://arxiv.org/abs/math/0212401 | |
| dc.identifier | http://arxiv.org/abs/math/0212401 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 1, 423--438 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66140 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 17B37, 14D21, 14L30, 16G20, 33D80 | |
| dc.title | Geometric construction of representations of affine algebras | |
| dc.type | text |