We introduce the quantum isomeric supercategory and the quantum affine isomeric supercategory. These diagrammatically defined supercategories, which can be viewed as isomeric analogues of the HOMFLYPT skein category and its affinisation, provide powerful categorical tools for studying the representation theory of the quantum isomeric superalgebras (commonly known as quantum queer superalgebras).

中文翻译：

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量子异构超范畴

我们介绍了量子异构超范畴和量子仿射异构超范畴。这些以图解方式定义的超范畴，可以看作是 HOMFLYPT 绞链范畴及其关联的异构类似物，为研究量子异构超代数（通常称为量子酷儿超代数）的表示论提供了强大的分类工具。