{"id":"W3100788008","doi":"","title":"ON TENSOR PRODUCTS OF POLYNOMIAL REPRESENTATIONS","year":2012,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Tensor product; Tensor product of algebras; Tensor (intrinsic definition); Polynomial; Pure mathematics; Tensor product of Hilbert spaces; Zero (linguistics); Product (mathematics); Algebra over a field; Combinatorics; Tensor contraction; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008116116,0.0000490025,0.00008866246,0.0000527266,0.00002301797,0.000002021203,0.00004689219,0.00002119207,0.0002706291],"category_scores_gemma":[0.001223178,0.00003673553,0.00002521296,0.0001439438,0.00002212365,0.00008845351,0.00001812228,0.00004139129,0.00007313929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006713893,"about_ca_system_score_gemma":0.00000742554,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001553961,"about_ca_topic_score_gemma":6.416536e-7,"domain_scores_codex":[0.9995623,0.00001211152,0.000124911,0.00007671256,0.00009725265,0.0001267145],"domain_scores_gemma":[0.9993172,0.0003126202,0.00005110961,0.0002425737,0.00004025217,0.00003626597],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00003271154,0.000563617,0.00515156,0.00006714593,0.00003128866,4.851212e-7,0.0007257033,0.000006434874,0.005408222,0.89888,0.08723445,0.001898378],"study_design_scores_gemma":[0.001106938,0.0002040483,0.02412056,0.00004100003,0.00007430151,0.00001570972,0.001379239,0.00002034588,0.5246136,0.4415078,0.00651082,0.0004056594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9552233,0.00002760302,0.002509348,0.0004880954,0.0001998898,0.000154501,0.000004296106,0.0000534116,0.04133959],"genre_scores_gemma":[0.9719163,0.000001016479,0.02030881,0.00007873041,0.0001592456,0.0000047913,0.000001438603,0.000008392597,0.00752129],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5192053,"threshold_uncertainty_score":0.2963199,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05739216978516692,"score_gpt":0.3558622987725371,"score_spread":0.2984701289873702,"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."}}