Cohomology of the hyperplane complement of a quaternionic reflection group
Abstract
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic and Geometric Analysis
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 6
- Publication date
- 1 June 2026
- Language
- EN