Crystal bases and quiver varieties (Geometric construction of crystal bases II)

Details Crystal bases and quiver varieties (Geometric construction of crystal bases II) Crystal bases and quiver varieties (Geometric construction of crystal bases II)

2001-11-21

arxiv.org/abs/math/0111232v1

Mathematics

Quantum Algebra

17 pages

Scientific paper

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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