{"paper":{"title":"Naturally graded 2-filiform Leibniz algebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"A.J. Gonz\\'alez, B.A. Omirov, J. R. G\\'omez, L.M. Camacho","submitted_at":"2006-11-21T15:10:32Z","abstract_excerpt":"The Leibniz algebras appear as a generalization of the Lie algebras \\cite{loday}. The classification of naturally graded $p$-filiform Lie algebras is known \\cite{C-G-JM}, \\cite{J.Lie.Theory}, \\cite{AJM}, \\cite{Ve}. In this work we deal with the classification of 2-filiform Leibniz algebras. The study of $p$-filiform Leibniz non Lie algebras is solved for $p=0$ (trivial) and $p=1$ \\cite{Omirov1}. In this work we get the classification of naturally graded non Lie 2-filiform Leibniz algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611646","kind":"arxiv","version":1},"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"}