{"id":"W4212855357","doi":"10.1017/s147474802200007x","title":"ACTIONS OF MONOIDAL CATEGORIES AND REPRESENTATIONS OF CARTAN TYPE LIE ALGEBRAS","year":2022,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Pure mathematics; Homomorphism; Algebra over a field; Fundamental representation; Lie algebra; Monoidal category; Cohomology; Representation of a Lie group; Type (biology)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009912116,0.0003895515,0.0002543661,0.001850974,0.001281738,0.001783313,0.0005391224,0.0005886435,0.003631609],"category_scores_gemma":[0.001146018,0.0002463092,0.0006690411,0.0007331647,0.002586134,0.003429307,0.002671709,0.001177059,0.0004325393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008136511,"about_ca_system_score_gemma":0.0004226402,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001035124,"about_ca_topic_score_gemma":0.0006154862,"domain_scores_codex":[0.999128,0.0002207683,0.00005069489,0.0001361442,0.0003031393,0.0001612092],"domain_scores_gemma":[0.9993537,0.0001063875,0.0001101893,0.0001112525,0.0001248821,0.0001936355],"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":[0.000008748179,0.00001604597,0.0002016271,0.00001201009,0.000005931967,0.0001545658,0.000426667,0.0004153271,0.00211973,0.9930905,0.0001614968,0.003387293],"study_design_scores_gemma":[0.00001082362,0.00006840537,0.001096879,0.00001937999,0.00001495169,0.0005301019,0.0004831024,0.007707371,0.004202936,0.9768547,0.008980238,0.00003120274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7639455,0.0008391131,0.1692943,0.0007921899,0.0002884706,0.00008555341,0.0001295009,0.0004615258,0.06416383],"genre_scores_gemma":[0.9776749,0.0002041783,0.01259564,0.000129663,0.00008745652,0.00004307452,0.00006459619,0.00004417127,0.009156327],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003631609,"threshold_uncertainty_score":0.01214898,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06057067854989961,"score_gpt":0.3403437473082551,"score_spread":0.2797730687583554,"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."}}