Crystal bases and quiver varieties |
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| Authors: | Yoshihisa Saito |
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| Affiliation: | (1) Department of Mathematics, University of Seoul, Seoul, 130-743, Korea;(2) Department of Mathematics, Chonnam National University, Gwangju, 500-757, Korea |
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| 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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