Article ID Journal Published Year Pages File Type
4587390 Journal of Algebra 2009 26 Pages PDF
Abstract

An affine Lie algebra acts on cohomology groups of quiver varieties of affine type. A Heisenberg algebra acts on cohomology groups of Hilbert schemes of points on a minimal resolution of a Kleinian singularity. We show that in the case of type A the former is obtained by Frenkel–Kac construction from the latter.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory