{"paper":{"title":"Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Fernando Szechtman, Leandro Cagliero","submitted_at":"2014-07-30T16:57:20Z","abstract_excerpt":"Let ${\\mathfrak g}$ be a finite dimensional Lie algebra over a field of characteristic 0, with solvable radical ${\\mathfrak r}$ and nilpotent radical ${\\mathfrak n}=[{\\mathfrak g},{\\mathfrak r}]$. Given a finite dimensional ${\\mathfrak g}$-module $U$, its nilpotency series $ 0\\subset U({\\mathfrak n}^1)\\subset\\cdots\\subset U({\\mathfrak n}^m)=U$ is defined so that $U({\\mathfrak n}^1)$ is the 0-weight space of ${\\mathfrak n}$ in $U$, $U({\\mathfrak n}^2)/U({\\mathfrak n}^1)$ is the 0-weight space of ${\\mathfrak n}$ in $U/U({\\mathfrak n}^1)$, and so on. We say that $U$ is linked if each factor of it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8125","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"}