{"paper":{"title":"Invariants in the cohomology of the complement of quaternionic reflection arrangements","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Gerhard Roehrle, Johannes Schmitt, Lorenzo Giordani","submitted_at":"2025-10-31T09:31:06Z","abstract_excerpt":"Let $\\mathcal A$ be a hyperplane arrangement in a vector space $V$ and $G \\leq GL(V)$ a group fixing $\\mathcal A$. In case when $G$ is a complex reflection group and $\\mathcal A=\\mathcal A(G)$ is its reflection arrangement in $V$, Douglass, Pfeiffer, and R\\\"ohrle studied the invariants of the $Q G$-module $H^*(M(\\mathcal A);Q)$, the rational, singular cohomology of the complement space $M(\\mathcal A)$ in $V$. In this paper we generalize the work in Douglass, Pfeiffer, and R\\\"ohrle to the case of quaternionic reflection groups, first classified by Cohen in 1980. We obtain a straightforward gene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.27311","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.27311/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}