Algunos aspectos del álgebra no asociativa
Bibliographic record
Abstract
espanolUna gran cantidad de estructuras algebraicas, y entre las mas significativas las algebras asociativas y de Jordan, estan fuertemente vinculadas a las algebras de Lie y tambien a interesantes geometrias. Estas relaciones dan explicacion a determinadas excepcionalidades en algebra y geometria que no son sino manifestaciones de los mismos fenomenos. En esta resena se analiza una parte de la actividad investigadora que el grupo de algebra de la Universidad de La Rioja ha realizado en los ultimos anos. Esta actividad se centra en el estudio de estructuras no asociativas que estan en el entorno de las algebras de Lie. EnglishA large number of algebraic structures, among which the associative and the Jordan algebras deserve special mention, are closely related to the Lie algebras and to some interesting geometries. These relationships explain certain exceptional behaviors in Algebra and Geometry, which are nothing but manifestations of the same phenomena. In this note we analyse part of the research made during the last years by the research group of Algebra of the University of La Rioja. This research focuses on the study of nonassociative structures related to Lie algebras.
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.007 | 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 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".