Перегляд за автором "Nakashima, T."

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  • Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A 
    Kanakubo, Y.; Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Let G be a simply connected simple algebraic group over C, B and B− be two opposite Borel subgroups in G and W be the Weyl group. For u, v∈W, it is known that the coordinate ring C[Gu,v] of the double Bruhat cell Gu,v=BuB∩B−vB− ...
  • Epsilon Systems on Geometric Crystals of Type An 
    Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We introduce an epsilon system on a geometric crystal of type An, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant ...