{"id":"W1978620976","doi":"10.1016/j.jalgebra.2012.09.030","title":"Embeddings of semisimple complex Lie groups and cohomological components of modules","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Pure mathematics; Semisimple Lie algebra; Lie algebra; Surjective function; Embedding; Algebra over a field; Affine 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":[0.000813715,0.0007793144,0.0005328438,0.0029485,0.001769938,0.003175459,0.0009939981,0.001065989,0.007047039],"category_scores_gemma":[0.002056014,0.0005962248,0.0005833482,0.001086567,0.003514844,0.00463806,0.003411908,0.001755302,0.000580685],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008027676,"about_ca_system_score_gemma":0.0003971699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005539912,"about_ca_topic_score_gemma":0.0007125445,"domain_scores_codex":[0.9995008,0.00009712108,0.00002856438,0.00008662322,0.0001476679,0.0001392812],"domain_scores_gemma":[0.9989128,0.0002338459,0.0002022953,0.00009402907,0.0001337708,0.0004233322],"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":[0.00007079392,0.000061716,0.0009729951,0.00002555288,0.0000121837,0.0001764814,0.00128262,0.0003740533,0.002040052,0.9907912,0.0003086553,0.003883722],"study_design_scores_gemma":[0.00003972046,0.00004996327,0.001697654,0.00001524282,0.00001450231,0.0002204235,0.0008245319,0.002265225,0.00099367,0.9921783,0.001681217,0.00001968748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9434694,0.0003274091,0.03201556,0.0006903299,0.000131008,0.00003658815,0.0001022748,0.0001341964,0.02309335],"genre_scores_gemma":[0.9889476,0.0001775634,0.004476877,0.0001014618,0.0001224256,0.00002425717,0.0001102703,0.00005109741,0.00598845],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007047039,"threshold_uncertainty_score":0.02357465,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07005281803501387,"score_gpt":0.3297886849692458,"score_spread":0.259735866934232,"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."}}