Spinoriality of Orthogonal Representations of GL(n,q)
arXiv:2008.06870 · doi:10.2140/pjm.2021.311.369
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).