Bibliographic record
Abstract
invariant (see Hauptmodul) action (physics) 229-230, 250, 259-260, 278 adèle 157-158 adjoint matrix 66 operator 47, 49, 52, 256 operator ad x (Lie algebra) 60, 190 representation 57, 60, 67-68, 72-73, 193, 331-332 module (see representation) Ado-Iwasawa Theorem 58 affine algebra 176 and braid groups (see braid group B n and K Z equation) characters (see character, for an affine algebra) graded dimensions (see character, for an affine algebra) and Lie algebras of polynomial growth 188-189 and loop algebras (see loop algebra) and loop groups (see loop group) modules 189, 192, 208, 329 integrable highest-weight 194-197, 199, 205, 215, 286, 329, 333 nontwisted construction 189-191, 205, 312 in string theory 189, 280, 286-288, 372-373 twisted 375 construction 191-192 and twisted character 220, 346-347 and Virasoro/Witt algebras (see Virasoro algebra; Witt algebra) Weyl group (see Weyl group) (see also Kac-Moody algebra) Alexander's theorem 43 algebra 8, 14, 24, 29, 44, 53, 98, 412, 431 algebraic closure 63, 395 algebraic group 58 algebraic integer 97, 394 algebraic number 96-97 alternating group A n 19, 100, 383 amplitude (quantum) 250, 252, 259, 276, 279-280, 300, 308 annihilation operator a 248, 257-258 anomaly 44, 134, 166, 259 conformal 134, 181, 259, 285, 318 global 178 local 178 anti-associativity 53 anti-communitivity 53 anti-holomorphic 281-282, 285 anti-particle 255, 258, 360 arrow (category) 87, 305 associativity constraint 89-90, 398 associator 398-399 asymptotic inclusion 390 Atiyah-Bott fixed-point theorem 149-150 Atiyah-Singer Index Theorem 44, 149, 181, 204, 270, 271, 350 Atkin-Lehner involution 408, 427 automorphic form/function 104, 137, 146, 154-158, 166, 223-225 automorphism of groups 15 inner 70-71, 79, 346 of lattices 32, 43, 153, 337, 409 of Lie algebras 191, 206, 218-220 outer 79 and representations 80-81, 218 of surfaces 115-116, 121, 124 of VOAs 325, 329, 331, 338, 343, 346, 382-383, 424 of von Neumann algebras 386 (see also Galois, group) Baby Monster B 404, 422 Lie algebra 416 moonshine 423-424 vertex operator superalgebra 423 Baker-Campbell-Hausdorff formula 58, 162 base of root system 70 bilinear form 307, 325, 329 invariant for Lie algebras 60, 208, 209-211, 213, 324; (see also Killing form) for VOAs 321-322, 331, 332 bilinear product 53-54, 318 bimodule
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.008 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.007 | 0.007 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.005 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.731 | 0.682 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".