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math.QA2019★ 3 cited
Half Potential on Geometric Crystals and Connectedness of Cellular Crystals
Yuki Kanakubo, Toshiki Nakashima
For any simple complex algebraic group, we define upper/lower half-decorated geometric crystals and show that their tropicalization will be upper/lower normal Kashiwara's crystals.…
math.QA2019
Adapted Sequence for Polyhedral Realization of Crystal Bases
Yuki Kanakubo, Toshiki Nakashima
The polyhedral realization of crystal base has been introduced by A.Zelevinsky and the second author([T.Nakashima, A.Zelevinsky, Adv. Math. 131, no. 1 (1997)]), which describe the…