{"id":"W3131576295","doi":"10.5539/jmr.v13n2p7","title":"Correlation Functions of Quantum Toroidal $\\mathfrak{gl}_1$ Algebra","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Cégep Garneau","funders":"","keywords":"Mathematics; Quantum; Algebra over a field; Quantum affine algebra; Toroid; Series (stratigraphy); Key (lock); Correlation; Affine transformation; Pure mathematics; Quantum mechanics; Geometry; Algebra representation; Cellular algebra; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.001008058,0.00061835,0.0007461065,0.001959589,0.001498477,0.001904703,0.001269861,0.0008144528,0.007591568],"category_scores_gemma":[0.003043426,0.0002138521,0.0006374403,0.001370334,0.00271128,0.003747537,0.0009228575,0.001203419,0.0008973176],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001361998,"about_ca_system_score_gemma":0.001284293,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002289263,"about_ca_topic_score_gemma":0.001191008,"domain_scores_codex":[0.9993082,0.0001694688,0.00002038008,0.0001101882,0.0001833845,0.000208382],"domain_scores_gemma":[0.9986772,0.0003704498,0.0002861696,0.0001298579,0.0002957622,0.0002405303],"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":[0.00001098162,0.000008528873,0.0001486087,0.00002260503,0.000003192056,0.00003089185,0.00006937335,0.00181868,0.0004339779,0.9950257,0.0004268512,0.00200074],"study_design_scores_gemma":[0.000009154101,0.00003058677,0.000502502,0.00001805151,0.00000692474,0.0001282645,0.00009479573,0.04493144,0.001093954,0.9507461,0.002399476,0.00003872083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6475937,0.001634636,0.2552692,0.002045491,0.0004079481,0.00009381239,0.0003932167,0.000340238,0.09222183],"genre_scores_gemma":[0.9779252,0.0007284478,0.009641521,0.0002806601,0.0004052049,0.00005864453,0.0001782867,0.00007827317,0.01070376],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007591568,"threshold_uncertainty_score":0.02539635,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1239315505580244,"score_gpt":0.3988643358576719,"score_spread":0.2749327852996475,"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."}}