{"id":"W1616424207","doi":"10.3842/sigma.2015.067","title":"Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)","year":2015,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Deutsches Elektronen-Synchrotron; Natural Sciences and Engineering Research Council of Canada; Eidgenössische Technische Hochschule Zürich","keywords":"Indecomposable module; Supergroup; Mathematics; Pure mathematics; Lift (data mining); Superalgebra; Conformal map; Lie superalgebra; Field (mathematics); Simple (philosophy); Realization (probability); Conformal field theory; Algebra over a field; Mathematical analysis; Affine Lie algebra; Current algebra; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.001231396,0.000126375,0.0003946586,0.0001505644,0.00009484308,0.00001837944,0.0002001403,0.000135938,0.00001827356],"category_scores_gemma":[0.001761421,0.00008476243,0.000105648,0.001274794,0.0002464595,0.00005658224,0.0001886351,0.0001517273,4.911653e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001386949,"about_ca_system_score_gemma":0.00002820112,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004454316,"about_ca_topic_score_gemma":0.00004231265,"domain_scores_codex":[0.9988196,0.0002403902,0.0004036971,0.0002659992,0.00016339,0.0001069129],"domain_scores_gemma":[0.9976482,0.001223948,0.0001961646,0.000648196,0.0001934572,0.00009006092],"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":[0.00001558683,0.00006705859,0.02393484,0.000133348,0.0001597315,1.620707e-8,0.0002931529,9.566132e-7,0.0002437484,0.9462461,0.00004376283,0.02886168],"study_design_scores_gemma":[0.0002411546,0.00006566814,0.01159656,0.00001269976,0.0004257908,0.000001883302,0.0006495247,0.0002829606,0.004997232,0.9813187,0.0003180494,0.00008974273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6210127,0.0006501988,0.377263,0.0002823206,0.00005508585,0.000254402,0.00003404211,0.00001329622,0.0004349346],"genre_scores_gemma":[0.9585621,0.00008938897,0.04118812,0.00003426061,0.00002815734,0.00003742176,0.000003607894,0.000006573484,0.00005036044],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3375494,"threshold_uncertainty_score":0.3456511,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04307088716075147,"score_gpt":0.3678083007763226,"score_spread":0.3247374136155712,"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."}}