{"paper":{"title":"Derivations for the even parts of modular Lie superalgebras $W$ and $S$ of Cartan type","license":"","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Wende Liu, Yongzheng Zhang","submitted_at":"2005-07-25T14:20:51Z","abstract_excerpt":"Let $\\mathbb{F}$ be the underlying base field of characteristic $p>3 $ and denote by $\\mathcal{W}$ and $\\mathcal{S}$ the even parts of the finite-dimensional generalized Witt Lie superalgebra $W$ and the special Lie superalgebra $S,$ respectively. We first give the generator sets of the Lie algebras $\\mathcal{W}$ and $\\mathcal{S}.$ Using certain properties of the canonical tori of $\\mathcal{W}$ and $\\mathcal{S},$ we then determine the derivation algebra of $\\mathcal{W}$ and the derivation space of $\\mathcal{S} $ to $\\mathcal{W},$ where $\\mathcal{W}$ is viewed as $\\mathcal{S} $-module by means "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0507512","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"}