Difference equations compatible with trigonometric KZ differential equations

Difference equations compatible with trigonometric KZ differential equations
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与三角 KZ 微分方程兼容的差分方程

DOI:
10.1155/s1073792800000441
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发表时间:
2000
影响因子:
1
通讯作者:
A. Varchenko
A. Varchenko
中科院分区:
数学1区
文献类型:
--
作者:
V. Tarasov;A. Varchenko

文献摘要

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与李代数$\g$相关的三角KZ方程依赖于参数$\lambda\in\h$,其中$\h\子集\g$是Cartan子代数。我们提出了一个与KZ方程相容的关于波长的动力学差分方程组。利用$g$-模的缠绕算子构造了动力学方程。
The trigonometric KZ equations associated with a Lie algebra $\g$ depend on a parameter $\lambda\in\h$ where $\h\subset\g$ is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to $\lambda$ compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of $\g$-modules.