Crystal bases and quiver varieties (Geometric construction of crystal bases II)
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crystalbasesirreduciblequivervarietiesalgebrabasecomponents
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We give a crystal structure on the set of all irreducible components of Lagrangian subvarieties of quiver varieties. One con show that, as a crystal, it is isomorphic to the crystal base of an irreducible highest weight representation of a quantized universal enveloping algebra.
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