Bibliographic record
Abstract
Abstract: Our main object of study are Borel subalge-bras of the Lie algebra gl (00) of finitary infinite matrices. By definition, a Borel subalgebra of gl (00) is a maximal 10-cally solvable subalgebra. We give an explicit description of Borel subaIgebras as stabilizers of certain chains of subspaces in the natural representation of gl (00). More precisely, we c1aim that each Borel subaIgebra of gl ( 00) is the stabilizer of a unique maximal closed generalized flag in the natural rep-resentation. We also discuss the relationship between Borel subaIgebras and toral subalgebras of gl (00). The paper is a self-contained statement of results and examples. Proofs will appear elsewhere. Key words (2000 MSC): Primary 17B05, 17B65; Sec-ondary 17B30.
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How this classification was reachedexpand
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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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) | 0.002 | 0.001 |
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 teacher head, 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".