CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS
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Bibliographic record
Abstract
The problem of determining a complete set of invariants for characterizing the Clifford class of a central simple G-algebra over a field K is studied under the assumption that the algebra is simple ring. This is successful in the case of interior central simple G-algebras over K, and also when the inertia subgroup of the G-algebra is a direct factor of G. As an application of the latter, it is shown that if G is a finite abelian group, L is a Galois extension of K with Galois group G, and E is a G-algebra isomorphic to End K V for some KG-module V, then the skew group ring of G over L ⊗ K E is a split matrix algebra over K.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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