Quiver varieties and finite dimensional representations of quantum affine algebras

Nakajima, Hiraku¹

¹ Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan

Journal of the American Mathematical Society, Tome 14 (2001) no. 1, pp. 145-238

Résumé

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.

Détail

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

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