Parabolically Induced Representations of <i>p</i> -adic <i>G</i> <sub>2</sub> Distinguished by SO <sub>4</sub> , I
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Bibliographic record
Abstract
We consider the parabolically induced representations of the symmetric space SO4\G2 over a p-adic field using the geometric lemma when the inducing parabolic subgroup is either Pβ or Pα. Using an explicit description of the embedding of G2 in GL8, we characterize precisely the induced representations which are (SO4,χ)-distinguished, given a certain type of involutions is chosen.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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