{"id":"W2604522835","doi":"10.1016/j.laa.2017.03.031","title":"The subalgebras of the rank two symplectic Lie algebra","year":2017,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; City University of New York","keywords":"Mathematics; Rank (graph theory); Symplectic geometry; Pure mathematics; Lie algebra; Automorphism; Automorphism group; Algebra over a field; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0003634475,0.0002174848,0.0002636724,0.00003236166,0.002268355,0.0001315664,0.001244903,0.00009421098,0.00003806227],"category_scores_gemma":[0.001053205,0.0001340011,0.0001318357,0.0001670434,0.0004785937,0.0001695109,0.000443729,0.0003207819,0.00004303251],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002582369,"about_ca_system_score_gemma":0.00007143806,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009716869,"about_ca_topic_score_gemma":0.00007317742,"domain_scores_codex":[0.9985083,0.00006520069,0.0004617839,0.0003387342,0.0003019583,0.0003240669],"domain_scores_gemma":[0.9962742,0.000969693,0.0005233039,0.001948899,0.0001891832,0.00009476982],"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":[0.000006126171,0.00005262443,0.0004395243,0.00004267239,0.0000467361,2.437285e-7,0.0001304522,6.753157e-7,0.0007731204,0.993423,0.0003168819,0.004767871],"study_design_scores_gemma":[0.0004803801,0.00002015167,0.002621813,0.00003134599,0.00009235229,0.00001281332,0.00006077245,0.0002933839,0.00889597,0.9656258,0.02168416,0.0001811183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9372966,0.002758542,0.02199219,0.01384698,0.0006568296,0.003851612,0.00008942606,0.0002682653,0.01923957],"genre_scores_gemma":[0.9933653,0.0003449709,0.003006344,0.0001679198,0.00036903,0.000319428,0.000003192633,0.00004970317,0.002374091],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05606873,"threshold_uncertainty_score":0.9990305,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03789762382770458,"score_gpt":0.3429935931183477,"score_spread":0.3050959692906431,"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."}}