{"paper":{"title":"Twisted Classical Poincar\\'{e} Algebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"53115 Bonn, Anatol Nowicki (Physikalisches Inst., Germany), Henri Ruegg, Jerzy Lukierski, Nussallee 12, Universit\\\"at Bonn, Universit\\'e de Geneve), Valerij N. Tolstoy (Dept. de Physique Theorique","submitted_at":"1993-12-09T10:46:04Z","abstract_excerpt":"We consider the twisting of Hopf structure for classical enveloping algebra $U(\\hat{g})$, where $\\hat{g}$ is the inhomogenous rotations algebra, with explicite formulae given for $D=4$ Poincar\\'{e} algebra $(\\hat{g}={\\cal P}_4).$ The comultiplications of twisted $U^F({\\cal P}_4)$ are obtained by conjugating primitive classical coproducts by $F\\in U(\\hat{c})\\otimes U(\\hat{c}),$ where $\\hat{c}$ denotes any Abelian subalgebra of ${\\cal P}_4$, and the universal $R-$matrices for $U^F({\\cal P}_4)$ are triangular. As an example we show that the quantum deformation of Poincar\\'{e} algebra recently pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9312068","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"}