{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008416894,0.0004191112,0.0005373455,0.002909269,0.001491958,0.00215276,0.0009353929,0.001088154,0.004536106],"category_scores_gemma":[0.002480995,0.0002505059,0.0007281108,0.001159157,0.004332331,0.00477341,0.002152637,0.001909881,0.0004870827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001435249,"about_ca_system_score_gemma":0.0005709034,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001104813,"about_ca_topic_score_gemma":0.0004107015,"domain_scores_codex":[0.9990747,0.0001233796,0.0000530979,0.000197549,0.0003168651,0.0002343315],"domain_scores_gemma":[0.9988465,0.0002939787,0.0002697418,0.0001309135,0.0002153126,0.0002435271],"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":[0.00001788144,0.00003488523,0.001396009,0.00004532979,0.000005880789,0.0001950452,0.0004617824,0.001519015,0.001422819,0.9862932,0.0006039029,0.008004127],"study_design_scores_gemma":[0.00001429126,0.00007596341,0.002371166,0.00003104098,0.00001924697,0.0004880363,0.0008587161,0.0170393,0.00377225,0.9689535,0.006327728,0.0000487528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7846757,0.001034623,0.1513706,0.00123911,0.0002226327,0.0001112404,0.0002578615,0.0004523124,0.06063589],"genre_scores_gemma":[0.9804308,0.0003371545,0.0124506,0.0001097454,0.0002547736,0.00004105654,0.000364179,0.00008499246,0.005926638],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004536106,"threshold_uncertainty_score":0.01517475,"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."}}