English

Spinoriality of Orthogonal Representations of GL(n,q)

Representation Theory 2021-08-04 v1

Abstract

We determine which orthogonal representations V of GL(n,q) lift to the double cover Pin(V ) of the orthogonal group O(V ). We cover all n and prime powers q, except for (n; q) =(3,4).

Keywords

Cite

@article{arxiv.2008.06870,
  title  = {Spinoriality of Orthogonal Representations of GL(n,q)},
  author = {Rohit Joshi and Steven Spallone},
  journal= {arXiv preprint arXiv:2008.06870},
  year   = {2021}
}