论文标题
统一根的结和链接的不变性
Invariants of knots and links at roots of unity
论文作者
论文摘要
当量化$ q $的参数是uqsln {}的不可约表示的链接时，我们提供了一个全面的分类，当量化$ q $的参数是统一的根源时。我们证明，除了与权重最高和最低权重的表示相关的标准homfly-pt不变性外，非平凡不变的人只能与具有参数的nilpotent表示相关。我们定义相应的不变性，并在特定参数值的特定值中讨论它们与标准不变的关系。
We present a comprehensive classification of invariants of knots and links associated with irreducible representations of \uqslN{}, when the parameter of quantization $q$ is a root of unity. We demonstrate that, besides the standard HOMFLY-PT invariants, which are associated with representations with highest and lowest weights, non-trivial invariants can be associated only with nilpotent representations with parameters. We define the corresponding invariants and discuss their relations with standard invariants at particular values of parameters.
