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Quiver varieties and finite dimensional representations of quantum affine algebras

Quantum Algebra 2007-05-23 v1 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/9912158,
  title  = {Quiver varieties and finite dimensional representations of quantum affine algebras},
  author = {Hiraku Nakajima},
  journal= {arXiv preprint arXiv:math/9912158},
  year   = {2007}
}

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88 pages