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math.QA2012
-Geometric Crystal corresponding to Dynkin index and its ultra-discretization
Kailash C. Misra, Toshiki Nakashima
Let be an affine Lie algebra with index set and be its Langlands dual. It is conjectured that for each the affine Lie a…
math.QA2012
Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases
Toshiki Nakashima
We shall show that for type the realization of crystal bases obtained from the decorated geometric crystals intorduced by Berenstein and Kazhdan coincides with our polyhedral…