Quiver varieties and finite dimensional representations of quantum affine algebras

Nakajima, Hiraku

doi:10.1090/S0894-0347-00-00353-2

Quiver varieties and finite dimensional representations of quantum affine algebras
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by Hiraku Nakajima

J. Amer. Math. Soc. 14 (2001), 145-238

DOI: https://doi.org/10.1090/S0894-0347-00-00353-2

Published electronically: October 2, 2000

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Abstract:

We study finite dimensional representations of the quantum affine algebra ${\mathbf {U}}_q(\widehat {\mathfrak {g}})$ using geometry of quiver varieties introduced by the author. As an application, we obtain character formulas expressed in terms of intersection cohomologies of quiver varieties.

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