Abstract
We prove a conjecture of Nakajima (for type A it was announced by Ginzburg and Vasserot) giving a geometric realization, via quiver varieties, of the Yangian of type ADE (and more in general of the Yangian associated to every symmetric Kac–Moody Lie algebra). As a corollary, we get that the finite-dimensional representation theory of the quantized affine algebra and that of the Yangian coincide.
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Varagnolo, M. Quiver Varieties and Yangians. Letters in Mathematical Physics 53, 273–283 (2000). https://doi.org/10.1023/A:1007674020905
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DOI: https://doi.org/10.1023/A:1007674020905