English

Harish-Chandra pairs in the Verlinde category in positive characteristic

Representation Theory 2022-03-08 v2 Algebraic Geometry Group Theory Rings and Algebras

Abstract

In this article, we prove that the category of affine group schemes of finite type in the Verlinde category is equivalent to the category of Harish-Chandra pairs in the Verlinde category. Subsequently, we extend this equivalence to an equivalence between corresponding representation categories and then study some consequences of this equivalence to the representation theory of GL(L)GL(L), with LL a simple object in the Verlinde category.

Keywords

Cite

@article{arxiv.1909.11240,
  title  = {Harish-Chandra pairs in the Verlinde category in positive characteristic},
  author = {Siddharth Venkatesh},
  journal= {arXiv preprint arXiv:1909.11240},
  year   = {2022}
}