{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001265542,0.000992423,0.0007782876,0.002605524,0.002088464,0.004473773,0.001690352,0.0009646538,0.06183531],"category_scores_gemma":[0.001957827,0.0006613992,0.001808316,0.001845786,0.001942988,0.007812783,0.003095171,0.002440766,0.02270425],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002494914,"about_ca_system_score_gemma":0.001761551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007311772,"about_ca_topic_score_gemma":0.00702991,"domain_scores_codex":[0.9982211,0.0002546228,0.0001770757,0.0004076812,0.0006321918,0.0003072861],"domain_scores_gemma":[0.9983296,0.0002142587,0.0001372492,0.0003487125,0.0007049482,0.0002653545],"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":[0.00006546334,0.00004551098,0.000279591,0.0001540633,0.00001675111,0.000145417,0.0003717569,0.0005253924,0.004036401,0.9464323,0.02355669,0.0243708],"study_design_scores_gemma":[0.00002736483,0.00009708921,0.00115853,0.00008418935,0.00005384537,0.0004187781,0.0003854838,0.006678536,0.01234701,0.6820086,0.2966323,0.00010817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05021717,0.0007454238,0.4846296,0.00237895,0.001757741,0.0002290454,0.005316717,0.01283774,0.4418876],"genre_scores_gemma":[0.4127981,0.00120287,0.1301984,0.00129396,0.001065914,0.0002476769,0.01283676,0.007972703,0.4323836],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.06183531,"threshold_uncertainty_score":0.2068598,"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."}}