Quiver varieties and Frenkel-Kac construction
classification
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actsaffinealgebracohomologyconstructionfrenkel-kacgroupsquiver
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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.
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