Quiver Varieties and Yangians

Details Quiver Varieties and Yangians Quiver Varieties and Yangians

2000-05-30

arxiv.org/abs/math/0005277v3

Mathematics

Quantum Algebra

9 pages, AMS-tex, final version accepted for publication in Letters in Math. Phys

Scientific paper

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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