{"paper":{"title":"Leibniz algebras constructed by representations of General Diamond Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"B.A. Omirov, I.A. Karimjanov, L.M. Camacho, M. Ladra","submitted_at":"2016-05-27T20:37:23Z","abstract_excerpt":"In this paper we construct a minimal faithful representation of the $(2m+2)$-dimensional complex general Diamond Lie algebra, $\\mathfrak{D}_m(\\mathbb{C})$, which is isomorphic to a subalgebra of the special linear Lie algebra $\\mathfrak{sl}(m+2,\\mathbb{C})$. We also construct a faithful representation of the general Diamond Lie algebra $\\mathfrak{D}_m$ which is isomorphic to a subalgebra of the special symplectic Lie algebra $\\mathfrak{sp}(2m+2,\\mathbb{R})$. Furthermore, we describe Leibniz algebras with corresponding $(2m+2)$-dimensional general Diamond Lie algebra $\\mathfrak{D}_m$ and ideal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08796","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"}