Cohomology of the hyperplane complement of a quaternionic reflection group
Representation Theory
2025-10-22 v1
Abstract
We compute the graded rank of the cohomology of the hyperplane complement associated with a quaternionic reflection group, and observe that it factors into irreducible factors with positive integer coefficients. For an irreducible group, these irreducible factors are all linear except at most one irreducible quadratic factor, which occurs for precisely three of the exceptional groups.
Keywords
Cite
@article{arxiv.2510.18607,
title = {Cohomology of the hyperplane complement of a quaternionic reflection group},
author = {Stephen Griffeth and David Guevara},
journal= {arXiv preprint arXiv:2510.18607},
year = {2025}
}