{"paper":{"title":"Lie super-bialgebra structures on a class of generalized super $W$-algebra $\\mathfrak{L}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Hao Wang, Huanxia Fa, Junbo Li","submitted_at":"2017-03-16T00:16:27Z","abstract_excerpt":"In this paper, Lie super-bialgebra structures on a class of generalized super $W$-algebra $\\mathfrak{L}$ are investigated. By proving the first cohomology group of $\\mathfrak{L}$ with coefficients in its adjoint tensor module is trivial, namely, $H^1(\\mathfrak{L},\\mathfrak{L}\\otimes {\\mathfrak{L}})=0$, we obtain that all Lie super-bialgebra structures on $\\mathfrak{L}$ are triangular coboundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05432","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"}