{"paper":{"title":"Deformation cohomology of algebraic and geometric structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AC","math.GR","math.MP"],"primary_cat":"math.AP","authors_text":"Jean-Fran\\c{c}ois Pommaret (CERMICS)","submitted_at":"2012-07-09T06:43:16Z","abstract_excerpt":"In 1953, the physicists E. Inon\\\"u and E.P. Wigner introduced the concept of deformation of a Lie algebra by claiming that the limit $1/c \\rightarrow 0$, when c is the speed of light, of the composition law $(u,v) \\rightarrow (u+v)/(1+(uv/c^2))$ of speeds in special relativity (Poincar\\'e group) should produce the composition law $(u,v) \\rightarrow u + v $ used in classical mechanics (Galil\\'ee group). However, the dimensionless composition law $(u'=u/c,v'=v/c) \\rightarrow (u'+v')/(1+u'v')$ does not contain any longer a perturbation parameter. Nevertheless, this idea brought the birth of the \""},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1964","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"}