{"id":"W1982727874","doi":"10.1142/s1793557110000167","title":"THE CENTRAL POLYNOMIALS OF THE FINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS","year":2010,"lang":"en","type":"article","venue":"Asian-European Journal of Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Unitary state; Field (mathematics); Algebra over a field; Exterior algebra; Orthogonal polynomials; Finite field","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":[0.002142976,0.0002562406,0.0004193705,0.00008932203,0.0002663182,0.00005143159,0.0009755088,0.00006291831,0.00003796823],"category_scores_gemma":[0.003531683,0.0001421381,0.0002289525,0.000186607,0.0005301702,0.000166606,0.0003265917,0.0009370924,0.000008682921],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002251849,"about_ca_system_score_gemma":0.0001069169,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001086145,"about_ca_topic_score_gemma":0.00001571687,"domain_scores_codex":[0.9972841,0.0004055173,0.001224077,0.0001366563,0.0005992187,0.000350445],"domain_scores_gemma":[0.9949988,0.002485329,0.00131702,0.0007392673,0.0002935262,0.0001660595],"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":[0.000116592,0.00111289,0.001837704,0.0005564494,0.0008102432,0.000343762,0.008414278,0.00006407529,0.02008938,0.9281155,0.01964771,0.01889135],"study_design_scores_gemma":[0.001454727,0.0002874951,0.00760228,0.0005118113,0.0003534719,0.001352234,0.002359977,0.0002629129,0.006400358,0.9729889,0.006003498,0.0004223368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9876459,0.0002277404,0.001796579,0.002860985,0.001174775,0.0002737408,0.00001528328,0.00002192404,0.005983126],"genre_scores_gemma":[0.916691,0.00005578063,0.08203507,0.0001796131,0.0004291195,0.000001011288,7.930026e-7,0.00008363254,0.0005239577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0802385,"threshold_uncertainty_score":0.5796223,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02055239493791275,"score_gpt":0.2606306633080314,"score_spread":0.2400782683701186,"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."}}