{"paper":{"title":"Reconstruction from Representations: Jacobi via Cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.RT","authors_text":"Boris Kruglikov, Henrik Winther","submitted_at":"2016-11-15T17:34:09Z","abstract_excerpt":"A subalgebra of a Lie algebra $\\mathfrak{h}\\subset\\mathfrak{g}$ determines $\\mathfrak{h}$-representation $\\rho$ on $\\mathfrak{m}=\\mathfrak{g}/\\mathfrak{h}$. In this note we discuss how to reconstruct $\\mathfrak{g}$ from $(\\mathfrak{h},\\mathfrak{m},\\rho)$. In other words, we find all the ingredients for building non-reductive Klein geometries. The Lie algebra cohomology plays a decisive role here."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05334","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":""},"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"}