{"paper":{"title":"Derivations for the even part of the Hamiltonian superalgebra in positive characteristic","license":"","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Wende Liu, Yongzheng Zhang, Yucai Su","submitted_at":"2005-10-26T15:01:01Z","abstract_excerpt":"In this paper we consider the derivations for even part of the finite-dimensional Hamiltonian superalgebra $H$ over a field of prime characteristic. We first introduce an ideal $\\frak{N}$ of $H_{\\bar{0}}$ and show that the derivation space from $H_{\\bar{0}}$ into $W_{\\bar{0}}$ can be obtained by the derivation space from $\\frak{N}$ into $W_{\\bar{0}},$ the even part of the generalized Witt superalgebra $W$. For further application we also give the generating set of the ideal $\\frak{N}$. Then we describe three series of exceptional derivations from $ {H}_{\\bar{0}}$ into $W_{\\bar{0}}.$ Finally, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510567","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"}