{"id":"W1970227839","doi":"10.1017/s1446788713000220","title":"THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS","year":2013,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Haar measure; Homomorphism; Lie algebra; Integer (computer science); Pure mathematics; Zero (linguistics); Lie group; Combinatorics; Group (periodic table); Haar; Discrete mathematics; Physics; Quantum mechanics","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":[0.0005783943,0.0002240377,0.0004787813,0.001385103,0.001380074,0.002109534,0.0004813303,0.0005070398,0.003022991],"category_scores_gemma":[0.001937956,0.0001612998,0.000340462,0.0005077573,0.003733348,0.002635074,0.001988516,0.0009647838,0.000258576],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001153232,"about_ca_system_score_gemma":0.0003758499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006149688,"about_ca_topic_score_gemma":0.0004692329,"domain_scores_codex":[0.9994596,0.00008177009,0.00002908418,0.0000920911,0.0002030117,0.0001344582],"domain_scores_gemma":[0.9991212,0.0002026773,0.0001895999,0.00008475452,0.0001053816,0.0002962489],"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":[0.00001852679,0.00001735933,0.000602769,0.00001177866,0.000003284996,0.0001120818,0.0002629476,0.000511863,0.001283559,0.995753,0.000157084,0.001265774],"study_design_scores_gemma":[0.00000836827,0.0000187145,0.0006157832,0.000008967472,0.000004136775,0.00018863,0.0002673143,0.008774461,0.001060049,0.988044,0.001000231,0.000009430402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9505665,0.0002203201,0.02113654,0.000510233,0.0000335878,0.00001113414,0.00003993225,0.00005484326,0.02742696],"genre_scores_gemma":[0.9972491,0.00003687542,0.001480441,0.00003081303,0.00002753832,0.000005429903,0.00001975039,0.000005035512,0.001145029],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003022991,"threshold_uncertainty_score":0.01011294,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03272488088246878,"score_gpt":0.3084562393005825,"score_spread":0.2757313584181137,"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."}}