{"id":"W159714145","doi":"10.1142/9789812777386_0088","title":"A NEW LIE - DERIVATIVE OPERATOR AND HOMOTHETIC OR KILLING VECTORS IN THE GHP FORMALISM","year":2002,"lang":"en","type":"article","venue":"The Ninth Marcel Grossmann Meeting","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Homothetic transformation; Formalism (music); Lie derivative; Operator (biology); Physics; Mathematics; Mathematical physics; Lie group; Computer science; Pure mathematics; Chemistry; Geometry; Adjoint representation of a Lie algebra","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009067976,0.0005994507,0.0007691464,0.001024609,0.001318254,0.002283995,0.001356824,0.001741377,0.00402291],"category_scores_gemma":[0.0009792667,0.0003225666,0.0007362622,0.00091657,0.003586801,0.003999334,0.002134923,0.002267921,0.0007420502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008604742,"about_ca_system_score_gemma":0.0009180165,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009513076,"about_ca_topic_score_gemma":0.0008978645,"domain_scores_codex":[0.9996119,0.00009957754,0.00002102406,0.00005852728,0.0001520371,0.00005699349],"domain_scores_gemma":[0.9996949,0.00004164559,0.00003107448,0.00007455603,0.00005153885,0.0001062367],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005726107,0.000005849852,0.00002799712,0.0000123739,0.000001925096,0.00007087836,0.00007756786,0.0003380031,0.0006300353,0.9968113,0.000439242,0.001579138],"study_design_scores_gemma":[0.000007053433,0.000007821076,0.00004701143,0.000004605102,0.000001893806,0.00008599514,0.00003411288,0.004338207,0.0001686721,0.9935945,0.00170388,0.000006321783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2871354,0.002635361,0.4393861,0.007263233,0.002187619,0.0001452157,0.000433572,0.0009812441,0.2598324],"genre_scores_gemma":[0.8617898,0.00135962,0.08547184,0.00154314,0.001219576,0.00008844292,0.0002238433,0.0003149708,0.04798877],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00402291,"threshold_uncertainty_score":0.01345795,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06907184718514445,"score_gpt":0.3016486574186524,"score_spread":0.232576810233508,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}