As n tends to infinity with q fixed and odd, the proportion of irreducible orthogonal representations of GL_n(F_q) with trivial first and second Stiefel-Whitney classes approaches 1, with similar behavior for the fourth class when q ≡ 1 mod 4.
The divisibility ofGL(n, q)character values.arXiv preprint arXiv:2408.14046
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Asymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$
As n tends to infinity with q fixed and odd, the proportion of irreducible orthogonal representations of GL_n(F_q) with trivial first and second Stiefel-Whitney classes approaches 1, with similar behavior for the fourth class when q ≡ 1 mod 4.