{"id":"W7140932065","doi":"10.5802/jolt.665","title":"Some Isomorphism Invariants for Lie Tori","year":2012,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Isomorphism (crystallography); Affine transformation; Torus; Lie algebra; Maximal torus; Lie theory; Simple Lie group; Lie conformal 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001689862,0.0001256266,0.0003220798,0.0001335135,0.00007526376,0.00001497728,0.0002154946,0.00008395279,0.0001769902],"category_scores_gemma":[0.00123631,0.000094018,0.0001810694,0.00008868422,0.00004228721,0.0005895268,0.00003990533,0.0002146054,0.00003801138],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004988865,"about_ca_system_score_gemma":0.00004370425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.434701e-8,"about_ca_topic_score_gemma":1.026217e-7,"domain_scores_codex":[0.9988916,0.00007544012,0.0004446067,0.00006372871,0.0002140935,0.0003105214],"domain_scores_gemma":[0.9977835,0.00125078,0.0004898575,0.0001823903,0.0001205875,0.0001729202],"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":[0.0001829325,0.0002351924,0.0001825446,0.00005898196,0.000100551,0.000006829319,0.0005771419,9.897793e-7,0.001579601,0.9862824,0.006787304,0.004005512],"study_design_scores_gemma":[0.0007412783,0.0001529937,0.000226585,0.00006059128,0.00008532973,0.0001109982,0.0002887367,0.000001385039,0.004834225,0.9855733,0.007804536,0.0001200733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8419477,0.00608052,0.1434738,0.0008968238,0.004593299,0.0003473665,0.00002364817,0.0000477221,0.002589076],"genre_scores_gemma":[0.9727107,0.0001190668,0.01968373,0.000617115,0.005081116,0.000004529985,8.259211e-7,0.00004449012,0.001738478],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1307629,"threshold_uncertainty_score":0.3833943,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06130166645791373,"score_gpt":0.3442732774125007,"score_spread":0.2829716109545869,"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."}}