与A型Weyl群相关的离散动力系统的q-变形

Journal of Integrable Systems Pub Date : 2015-09-01 DOI:10.1093/INTEGR/XYW004

Azusa Ikeda, T. Masuda

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引用次数: 0

摘要

研究一类Weyl群的离散动力系统的A$ q$-变形问题。这是对类型为$A_4^{(1)}$的$q$-Painleve方程的双族Weyl群作用的自然推广。给出了由Weyl群作用产生的一类Laurent多项式的Jacobi-Trudi型行列式。

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A q-deformation of discrete dynamical systems associated with the Weyl group of type A

A $q$-deformation of discrete dynamical systems associated with the Weyl group of type $A$ is proposed. This is a natural generalization of the birational Weyl group action for the $q$-Painleve equation of type $A_4^{(1)}$. A determinant formula of Jacobi–Trudi type for a family of Laurent polynomials arising from the action of the Weyl group is also presented.

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Journal of Integrable Systems

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