{"id":"W4388563971","doi":"10.1016/j.jpaa.2023.107565","title":"Tensor category <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">KL</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math> via minimal affine W-algebras at the non-admissible level <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\"><mml:mi>k</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>","year":2023,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Vertex operator algebra; Indecomposable module; Tensor product; Vertex (graph theory); Tensor (intrinsic definition); Conformal map; Algebra over a field; Tensor decomposition; Pure mathematics; Combinatorics; Current algebra; Geometry","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":["metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.01059804,0.005728059,0.002282555,0.004149392,0.008143618,0.009453205,0.01258804,0.01433283,0.7521698],"category_scores_gemma":[0.007745278,0.0112482,0.01092113,0.007484529,0.008565024,0.007281546,0.01248475,0.011166,0.008983152],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001398858,"about_ca_system_score_gemma":0.009567388,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007687428,"about_ca_topic_score_gemma":0.00837762,"domain_scores_codex":[0.9518786,0.002809428,0.01107931,0.008951808,0.01270198,0.01257887],"domain_scores_gemma":[0.9588977,0.008739264,0.01336805,0.009752071,0.001538591,0.007704355],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0100436,0.001798279,0.00003431348,0.005160561,0.009586961,0.008682435,0.005425634,0.003956452,0.005056929,0.3728046,0.5714733,0.005976995],"study_design_scores_gemma":[0.01049123,0.007506895,0.0002223776,0.006338556,0.01165531,0.0153013,0.008000801,0.01893124,0.8937202,0.00382265,0.01417349,0.00983596],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4616416,0.007219812,0.002411102,0.003039581,0.01123811,0.0003071524,0.003895837,0.001522052,0.5087248],"genre_scores_gemma":[0.9388167,0.008013858,0.007512511,0.007027317,0.01469305,0.00834736,0.008053439,0.006303613,0.001232161],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8886633,"threshold_uncertainty_score":0.9989843,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01672853874728426,"score_gpt":0.2372658002472064,"score_spread":0.2205372614999222,"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."}}