{"id":"W1987434700","doi":"10.1088/1742-6596/284/1/012022","title":"Indecomposable representations of the Euclidean algebra (3) from irreducible representations of the symplectic algebra (4, ℂ)","year":2011,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"City University of New York","keywords":"Indecomposable module; Algebra over a field; Symplectic geometry; Mathematics; Pure mathematics; Euclidean geometry; Filtered algebra; Cellular algebra; Algebra representation; Geometry","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":[0.0003274432,0.0005804509,0.0004061561,0.0008146457,0.0008031628,0.001628061,0.0008861392,0.0006217198,0.006444997],"category_scores_gemma":[0.001204765,0.0003700242,0.0007447681,0.0005964922,0.001729963,0.002281455,0.002061193,0.001602299,0.001154334],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005174204,"about_ca_system_score_gemma":0.0004956005,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002399041,"about_ca_topic_score_gemma":0.0002995929,"domain_scores_codex":[0.999587,0.00005520748,0.00002281073,0.00006751414,0.0001609111,0.0001066785],"domain_scores_gemma":[0.9995925,0.00007180621,0.00007847057,0.0001251611,0.00004638041,0.00008571224],"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":[0.0001776943,0.0002134589,0.001741983,0.0001520824,0.00002827373,0.00245039,0.001750899,0.004197437,0.03581336,0.9107209,0.002338939,0.04041472],"study_design_scores_gemma":[0.00006545323,0.0001367656,0.002387015,0.00005143998,0.00003322289,0.002572494,0.0006683393,0.01656662,0.02769101,0.9328635,0.0169009,0.00006322528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9025665,0.0003313224,0.05828674,0.0003578865,0.0001492774,0.00004317925,0.0002081496,0.0002504034,0.0378066],"genre_scores_gemma":[0.9537712,0.0003438732,0.02014552,0.0001356318,0.0001283726,0.00004157191,0.0005148188,0.0001355453,0.02478349],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006444997,"threshold_uncertainty_score":0.02156067,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09026391213793326,"score_gpt":0.3325100131930365,"score_spread":0.2422461010551032,"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."}}