Перегляд за автором "Yamada, Y."

Сортувати за: Порядок: Результатів:

  • A Common Structure in PBW Bases of the Nilpotent Subalgebra of Uq(g) and Quantized Algebra of Functions 
    Kuniba, A.; Okado, M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For a finite-dimensional simple Lie algebra g, let U⁺q(g) be the positive part of the quantized universal enveloping algebra, and Aq(g) be the quantized algebra of functions. We show that the transition matrix of the PBW ...
  • A Lax Formalism for the Elliptic Difference Painlevé Equation 
    Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P¹ × P¹ and described in terms of the point configurations.
  • An Elliptic Garnier System from Interpolation 
    Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Considering a certain interpolation problem, we derive a series of elliptic difference isomonodromic systems together with their Lax forms. These systems give a multivariate extension of the elliptic Painlevé equation.
  • From Polygons to Ultradiscrete Painlevé Equations 
    Ormerod, C.M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise ...