{"id":"W2021000789","doi":"10.1016/j.crma.2004.07.017","title":"Killing tensors as irreducible representations of the general linear group","year":2004,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University; University of Waterloo","funders":"","keywords":"Mathematics; General linear group; Isomorphism (crystallography); Pure mathematics; Vector bundle; Equivariant map; Irreducible representation; Combinatorics; Symmetric group","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003212696,0.0007337833,0.0004295451,0.001514163,0.0008818296,0.001687096,0.000572695,0.0005315148,0.002193992],"category_scores_gemma":[0.0005822162,0.0002380307,0.0005636458,0.0006704352,0.002118726,0.001903813,0.001326184,0.0009152754,0.0003549366],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008744802,"about_ca_system_score_gemma":0.0004649315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001090038,"about_ca_topic_score_gemma":0.0007626826,"domain_scores_codex":[0.9996184,0.00005756672,0.00001627539,0.00006952274,0.0001157521,0.000122442],"domain_scores_gemma":[0.9997115,0.00002076578,0.00008414415,0.00003889627,0.00004655225,0.00009808464],"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":[0.00003391811,0.0000263093,0.0004970943,0.00002679114,0.00001065676,0.0001791021,0.0003603847,0.001925118,0.005597023,0.9859657,0.0003737481,0.005004139],"study_design_scores_gemma":[0.00002307977,0.00008328842,0.001249149,0.00001853204,0.00001843494,0.0004550606,0.0002626109,0.01778593,0.003398013,0.9717691,0.004903299,0.00003358478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9185405,0.00051317,0.04587063,0.0004467641,0.0001378537,0.00003805554,0.00007821898,0.0001332546,0.03424146],"genre_scores_gemma":[0.9829856,0.0003839228,0.006817684,0.00009745017,0.0001585465,0.00002103795,0.0001160709,0.00004142856,0.009378385],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002193992,"threshold_uncertainty_score":0.007339597,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03438783669330484,"score_gpt":0.3362265155026891,"score_spread":0.3018386788093843,"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."}}