Quiver varieties and finite dimensional representations of quantum affine algebras

  • Nakajima H
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Abstract

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.

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APA

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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