{"id":"W2005599076","doi":"10.4153/cmb-2007-005-x","title":"Tensor Square of the Minimal Representation of<i>O</i>(<i>p</i>,<i>q</i>)","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Tensor product; Representation (politics); Tensor (intrinsic definition); Decomposition; Square (algebra); Pure mathematics; Space (punctuation); Product (mathematics); Algebra over a field; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005239481,0.0001512359,0.0003682564,0.0001425581,0.00007368316,0.000007624767,0.0003260692,0.0001185204,0.002441672],"category_scores_gemma":[0.00271829,0.0001096426,0.0002002785,0.0004908479,0.0002332527,0.00002381244,0.00004897398,0.0001653144,0.0002357475],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005714667,"about_ca_system_score_gemma":0.00009861487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001010464,"about_ca_topic_score_gemma":0.0006598643,"domain_scores_codex":[0.9983683,0.00005014838,0.0006567446,0.0001913614,0.0003479643,0.0003855354],"domain_scores_gemma":[0.9976666,0.001087684,0.0002519541,0.0005800139,0.0001618376,0.0002518857],"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":[0.00004825085,0.0002138026,0.0036494,0.0008368095,0.00007328422,0.0000296362,0.001097622,0.000008445023,0.003034824,0.9715366,0.0168117,0.002659627],"study_design_scores_gemma":[0.0005965584,0.00008156824,0.00407037,0.0003568569,0.0001026613,0.00005008692,0.001509413,0.00003059176,0.0578707,0.9275643,0.007457794,0.0003091539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9661319,0.00005892014,0.008377061,0.001677796,0.0001092745,0.0004760298,0.00003836722,0.00002702831,0.02310362],"genre_scores_gemma":[0.9874815,0.000001658265,0.01076597,0.000252387,0.0000551397,0.00000677121,0.000002063009,0.00002867007,0.00140582],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05483587,"threshold_uncertainty_score":0.9984702,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02648618972994696,"score_gpt":0.2899542998984178,"score_spread":0.2634681101684708,"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."}}