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Quiver Varieties and Yangians

Michela Varagnolo
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Abstract

We prove a conjecture of Nakajima (for type A the result was announced by Ginzburg- 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 tthe characters of the simple finite dimensional representations of the quantized affine algebra and that of the yangian coincide.

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Michela Varagnolo. 2001-05-07. Quiver Varieties and Yangians. https://arxiv.org/abs/math/0005277

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