Quiver varieties and finite dimensional representations of quantum affine algebras

Details Quiver varieties and finite dimensional representations of quantum affine algebras Quiver varieties and finite dimensional representations of quantum affine algebras

1999-12-20

arxiv.org/abs/math/9912158v1

Mathematics

Quantum Algebra

88 pages

Scientific paper

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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