Crystal bases and quiver varieties (Geometric construction of crystal bases II)
Quantum Algebra
2007-05-23 v1
Abstract
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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Cite
@article{arxiv.math/0111232,
title = {Crystal bases and quiver varieties (Geometric construction of crystal bases II)},
author = {Yoshihisa Saito},
journal= {arXiv preprint arXiv:math/0111232},
year = {2007}
}
Comments
17 pages