{"paper":{"title":"Classification of reductive real spherical pairs I. The simple case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bernhard Kr\\\"otz, Friedrich Knop, Henrik Schlichtkrull, Tobias Pecher","submitted_at":"2016-09-04T17:31:48Z","abstract_excerpt":"This paper gives a classification of all pairs $(\\mathfrak g, \\mathfrak h)$ with $\\mathfrak g$ a simple real Lie algebra and $\\mathfrak h < \\mathfrak g$ a reductive subalgebra for which there exists a minimal parabolic subalgebra $\\mathfrak p < \\mathfrak g$ such that $\\mathfrak g = \\mathfrak h + \\mathfrak p$ as vector sum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00963","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}