2005/12/30 by Masaki Kashiwara, Toshiki Nakashima, Kashiwara, Masaki +3
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.math/0512657
46 pages
arxiv created 2005/12/30 · arxiv updated 2009/12/01
For every non-exceptional affine Lie algebra, we explicitly construct a positive geometric crystal associated with a fundamental representation. We also show that its ultra-discretization is isomorphic to the limit of certain perfect crystals of the Langlands dual affine Lie algebra.