AI 中文总结
本文定义了高阶退化自旋仿射Hecke超代数，建立其与高阶退化仿射Hecke-Clifford超代数的同构关系，推广了退化情形下两类超代数的对应关系，丰富了超代数结构理论研究。
AI 中文摘要
我们定义了一类新的超代数，称为高阶退化自旋仿射Hecke超代数，并研究其结构理论。我们建立了一个同构，将高阶退化自旋仿射Hecke超代数与高阶退化仿射Hecke-Clifford超代数关联起来，这种关系是退化自旋仿射Hecke超代数与退化仿射Hecke-Clifford超代数之间关系的高阶类比。
英文摘要
We define a new class of superalgebras, called tensor product degenerate spin affine Hecke superalgebras, and study their structure theory. We establish an isomorphism that relates the tensor product degenerate spin affine Hecke superalgebras to the tensor product degenerate affine Hecke-Clifford superalgebras. The relationship between these superalgebras is a tensor product analogue of the relationship between the degenerate spin affine Hecke superalgebras and degenerate affine Hecke-Clifford superalgebras.
Comments27 pages; v2: Minor corrections, the terminology has been changed from "higher-level" to "tensor product" throughout
