{"id":"W2001081880","doi":"10.1016/j.laa.2014.08.019","title":"Post-Lie algebra structures on solvable Lie algebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"double-struck\">C</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2014,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"National Natural Science Foundation of China; University of Manitoba","keywords":"Mathematics; Lie algebra; Isomorphism (crystallography); Algebra over a field; Graded Lie algebra; Lie conformal algebra; Pure mathematics; Crystallography","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000783073,0.0006767694,0.0005632092,0.001695968,0.001903959,0.003126089,0.001025219,0.0009329493,0.03091892],"category_scores_gemma":[0.001682177,0.0003409385,0.0007476032,0.0009454402,0.002119923,0.005194617,0.001778565,0.001739265,0.008204198],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001677021,"about_ca_system_score_gemma":0.001326631,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002139938,"about_ca_topic_score_gemma":0.002255219,"domain_scores_codex":[0.9992633,0.0001715804,0.00004481794,0.0001421426,0.0002328958,0.0001451964],"domain_scores_gemma":[0.9989699,0.0001510655,0.0001340267,0.0001503182,0.0004033134,0.0001913983],"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":[0.00001238791,0.00001255291,0.00006371606,0.00001699807,0.000002061217,0.00004584667,0.0001348006,0.0002603278,0.0004695382,0.9942305,0.00228162,0.00246967],"study_design_scores_gemma":[0.000007770176,0.00001609921,0.00009514359,0.000007072673,0.000001839828,0.00005258298,0.00008928704,0.002499895,0.0005584255,0.9910349,0.00562904,0.000008058242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2266196,0.0009620793,0.2936652,0.00476906,0.001118525,0.000143758,0.001625011,0.0022761,0.4688206],"genre_scores_gemma":[0.8083551,0.0005742233,0.03772621,0.001166261,0.0007389029,0.0001573556,0.001580261,0.0009141674,0.1487876],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03091892,"threshold_uncertainty_score":0.1034341,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01995637089079031,"score_gpt":0.2613493144907985,"score_spread":0.2413929436000082,"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."}}