{"id":"W2197147358","doi":"10.1016/j.jalgebra.2015.02.007","title":"A family of representations of the Lie superalgebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover><mml:mrow><mml:mo stretchy=\"true\">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=\"true\">)</mml:mo></mml:mrow></mml:math>","year":2015,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Lie superalgebra; Irreducibility; Tensor product; Algebra over a field; Pure mathematics; Affine Lie 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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","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":[0.008701092,0.004164968,0.001757492,0.003376982,0.005776106,0.007304519,0.01214617,0.01119814,0.8974973],"category_scores_gemma":[0.009654284,0.008610181,0.01012296,0.00644261,0.007869989,0.007508544,0.009887761,0.008856771,0.004331496],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001214435,"about_ca_system_score_gemma":0.01029182,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01038452,"about_ca_topic_score_gemma":0.006342823,"domain_scores_codex":[0.9578103,0.002944214,0.009685636,0.006857307,0.01278706,0.009915428],"domain_scores_gemma":[0.9631951,0.007248447,0.01276921,0.009164829,0.00153706,0.006085294],"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":[0.007642869,0.001295089,0.00007208136,0.003534157,0.008651051,0.004616202,0.005688875,0.004405826,0.004938951,0.3795439,0.5766006,0.003010423],"study_design_scores_gemma":[0.01070474,0.006960859,0.000350078,0.005504988,0.009531918,0.008950596,0.0108093,0.009603589,0.9206302,0.004484404,0.00505877,0.007410539],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4020461,0.004239218,0.001316687,0.00202419,0.01059363,0.0001731265,0.001547108,0.0006669285,0.5773931],"genre_scores_gemma":[0.9615313,0.00555572,0.005726169,0.004751484,0.009449495,0.003892052,0.003526198,0.004655018,0.0009125721],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9156913,"threshold_uncertainty_score":0.9997904,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02435655309831398,"score_gpt":0.2546574187441888,"score_spread":0.2303008656458748,"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."}}