Joshi, Rohit; SPALLONE, STEVEN(Pacific Journal of Mathematics, 2021-04)
We determine which orthogonal representations V of GLn(Fq) lift to the double cover Pin(V) of the orthogonal group O(V). We cover all n≥1 and prime powers q, except for (n,q)=(3,4).
We compute the total Stiefel Whitney class for a real representation p of GL(n)(F-q), where q is odd in terms of character values of p on order 2 diagonal elements. We also compute the total Stiefel Whitney classes of real ...