Abstract.
We give a crystal structure on the set of all irreducible components of Lagrangian subvarieties of quiver varieties. One can 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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Received: 4 January 2001 / Published online: 8 November 2002
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Saito, Y. Crystal bases and quiver varieties. Math Ann 324, 675–688 (2002). https://doi.org/10.1007/s00208-002-0332-6
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DOI: https://doi.org/10.1007/s00208-002-0332-6