{"id":"W1979387538","doi":"10.1016/j.jalgebra.2014.01.035","title":"On (almost) extreme components in Kronecker products of characters of the symmetric groups","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Alexander von Humboldt-Stiftung","keywords":"Mathematics; Kronecker delta; Recursion (computer science); Conjecture; Symmetric group; Kronecker product; Combinatorics; Pure mathematics; Algorithm","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002856819,0.0001319741,0.0004772599,0.0005777552,0.00002663509,0.00001100238,0.000599393,0.00006964309,0.00005826459],"category_scores_gemma":[0.004053067,0.00008402811,0.0001497679,0.000838919,0.0001204133,0.000138817,0.0001075652,0.0004904537,0.00001217322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007900723,"about_ca_system_score_gemma":0.00005902198,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004803228,"about_ca_topic_score_gemma":0.000002023229,"domain_scores_codex":[0.9974405,0.0004628468,0.0008554014,0.0001219729,0.0008887307,0.0002305776],"domain_scores_gemma":[0.9969828,0.001222907,0.000966972,0.0004540806,0.0003112765,0.00006203768],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.002374397,0.005343326,0.05068771,0.001820302,0.0004950041,0.00005657218,0.005125387,0.00004682006,0.289537,0.6313748,0.003071703,0.01006698],"study_design_scores_gemma":[0.004510317,0.001779841,0.4967686,0.001913876,0.0001120755,0.0001484763,0.0003068441,0.0004700354,0.09685228,0.3964288,0.0003584011,0.000350453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9980641,0.00004855713,0.00003942414,0.0005694797,0.0002408647,0.0002024911,0.000002818275,0.000002633313,0.0008296167],"genre_scores_gemma":[0.9990454,0.00001272297,0.0006656041,0.00004272692,0.00009196946,0.000001180926,5.279305e-7,0.00002395749,0.0001159248],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4460809,"threshold_uncertainty_score":0.4852192,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09861012498398938,"score_gpt":0.2929661636374242,"score_spread":0.1943560386534348,"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."}}