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Record W582647012 · doi:10.1090/crmp/035

Invariant Theory in All Characteristics

2004· book· en· W582647012 on OpenAlexaff
H. E. A. Campbell, David L. Wehlau

Bibliographic record

VenueCRM proceedings & lecture notes · 2004
Typebook
Languageen
FieldMathematics
TopicFinite Group Theory Research
Canadian institutionsRoyal Military College of CanadaQueen's University
Fundersnot available
KeywordsMathematicsInvariant theoryPure mathematicsInvariant (physics)Lie groupRepresentation theoryAlgebraic groupSteenrod algebraCohomologyPolynomial ringGeneralized flag varietyAlgebra over a fieldAlgebraic numberPolynomialMathematical analysis

Abstract

fetched live from OpenAlex

A local study of embeddings of complexity one by G. Bousquet and L. Moser-Jauslin Constructive invariant theory by H. Derksen On global degree bounds for invariants by H. Derksen and G. Kemper On invariant theory of finite groups by P. Fleischmann Combinatorics related to orbit closures of symmetric subgroups in flag varieties by A. G. Helminck Deformation of symmetric functions and the rational Steenrod algebra by F. Hivert and N. M. Thiery Cohomology with Grosshans graded coefficients by W. van der Kallen The module structure of a group action on a polynomial ring: examples, generalizations, and applications by D. B. Karagueuzian and P. Symonds An invariant theoretic description of the primitive elements of the mod$-p$ cohomology of a finite loop space which are annihilated by Steenrod operations by N. E. Kechagias On Noether's and Weyl's bound in positive characteristic by F. Knop Comparing the depths of rings of invariants by M. D. Neusel Moment polytopes of nilpotent orbit closures dimension and isomorphism of simple modules and variations on the theme of J. Chipalkatti by V. L. Popov Compressions of group actions by Z. Reichstein Commutativity of weakly commutative Riemannian homogeneous spaces by L. G. Rybnikov Group actions and quotients for compact Lie groups and algebraic groups by G. W. Schwarz Notes on invariant rings of divided powers by J. Segal Classical covariants and modular invariants by R. J. Shank Classification of nearly closed orbits for the action of semisimple complex linear groups on the projective spaces by A. V. Smirnov Convex cones and SAGBI bases of permutation invariants by N. M. Thiery and S. Thomasse Some problems in invariant theory by D. L. Wehlau The Peterson conjecture for algebras of invariants by R. M. W. Wood Weakly symmetric and weakly commutative spaces by O. Yakimova.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.002
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.012
Threshold uncertainty score0.039

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0020.002
Science and technology studies0.0020.005
Scholarly communication0.0050.007
Open science0.0010.002
Research integrity0.0000.002
Insufficient payload (model declined to judge)0.0120.001

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.

Opus teacher head0.069
GPT teacher head0.320
Teacher spread0.252 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreOther

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".

Quick stats

Citations22
Published2004
Admission routes1
Has abstractyes

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