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math.QA2018
Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization
Manal Alshuqayr, Toshiki Nakashima
We consider a product of fundamental crystals in monomial realization of type A. Then we shall show that the product holds crystal structure and describe how it is decomposed into…
math.QA2018★ 1 cited
Geometric crystals and Cluster ensembles in Kac-Moody setting
Yuki Kanakubo, Toshiki Nakashima
For a Kac-Moody group , double Bruhat cells ( is a Weyl group element) have positive geometric crystal structures. In arXiv:1210.2533, it is shown that there exist…