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arxiv: math/9912158 · v1 · submitted 1999-12-20 · 🧮 math.QA · math.AG

Quiver varieties and finite dimensional representations of quantum affine algebras

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keywords quivervarietiesaffinedimensionalfinitequantumrepresentationsalgebra
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We study finite dimensional representations of the quantum affine algebra, 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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