We study finite dimensional representations of the quantum affine algebra U q ( g ^ ) {\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.
CITATION STYLE
Nakajima, H. (2000). Quiver varieties and finite dimensional representations of quantum affine algebras. Journal of the American Mathematical Society, 14(1), 145–238. https://doi.org/10.1090/s0894-0347-00-00353-2
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