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math.QA2010
Ultra-discretization of the D_4^3-Geometric Crystals to the G_2^1-Perfect Crystals
Mana Igarashi, Kailash C. Misra, Toshiki Nakashima
Let g be an affine Lie algebra and g^L be its Langlands dual. It is conjectured that g has a positive geometric crystal whose ultra-discretization is isomorphic to the limit of cer…
math.QA2010
Geometric Crystals on Flag Varieties and Unipotent Subgroups of Classical Groups
Mana Igarashi, Toshiki Nakashima
For a classical simple algebraic group we obtain the affirmative answer for the conjecture in [8] that there exists an isomorphism between the geometric crystal on the flag var…