AI 中文总结
本文针对单位根步长的qKZ型离散平坦联络,构造其单值算子的本征截面与本征值,方法基于离散Gauss-Manin联络表示。
AI 中文摘要
具有乘法步长$p$的qKZ型离散平坦联络,当$p$为单位根时具有单值算子。这些单值算子是联络的交换自同态。我们构造了它们的本征截面和本征值。该构造基于将离散平坦联络表示为离散Gauss-Manin联络。
英文摘要
A qKZ-type discrete flat connection with multiplicative step $p$ has monodromy operators when $p$ is a root of unity. The monodromy operators are commuting endomorphisms of the connection. We construct their eigensections and eigenvalues. The construction is based on the presentation of the discrete flat connection as a discrete Gauss-Manin connection.
CommentsLatex, 33 pages