2001/11/21 by Yoshihisa Saito, Saito, Yoshihisa
Mathematics · #14D30 #16G20 #17B35 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:14D30 #msc:16G20 #msc:17B35
paper · pdf · doi:10.48550/arxiv.math/0111232
17 pages
arxiv created 2001/11/21 · arxiv updated 2009/11/30
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.