{"paper":{"title":"Generalized Derivations of Lie triple systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jia Zhou, Liangyun Chen, Yao Ma","submitted_at":"2014-12-25T08:57:21Z","abstract_excerpt":"In this paper, we present some basic properties concerning the derivation algebra ${\\rm Der}(T)$, the quasiderivation algebra ${\\rm QDer}(T)$ and the generalized derivation algebra ${\\rm GDer}(T)$ of a Lie triple system $T$, with the relationship ${\\rm Der}(T)\\subseteq {\\rm QDer}(T)\\subseteq {\\rm GDer}(T)\\subseteq {\\rm End}(T)$. Furthermore, we completely determine those Lie triple systems $T$ with condition ${\\rm QDer}(T)={\\rm End}(T)$. We also show that the quasiderivations of $T$ can be embedded as derivations in a larger Lie triple system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7804","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"}