Mathematics – Quantum Algebra
Scientific paper
2005-12-30
Mathematics
Quantum Algebra
46 pages
Scientific paper
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.
Kashiwara Masaki
Nakashima Toshiki
Okado Masato
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