退化仿射有向Brauer-Clifford超范畴的基定理
表示论
2023-09-13 v3 范畴论
摘要
我们引入有向 Brauer-Clifford 超范畴和退化仿射有向 Brauer-Clifford 超范畴。这些是通过图定义的单轴超范畴，分别为 Q 型李超代数的超模和自然单轴超范畴以及内超函子提供了组合模型。我们的主要结果是这些图超范畴的基定理。我们还讨论了与 Q 型李超代数表示论的联系和应用。
引用
@article{arxiv.1706.09999,
title = {A basis theorem for the degenerate affine oriented Brauer-Clifford supercategory},
author = {Jonathan Brundan and Jonathan Comes and Jonathan R. Kujawa},
journal= {arXiv preprint arXiv:1706.09999},
year = {2023}
}
备注
37 pages, many figures. Version 3 replaces the partial results from the previous versions with a proof by the first author of a basis theorem for cyclotomic quotients at all levels. Various other minor corrections and revisions were made