Structure in Bruhat intervals of permutation groups
Structure in Bruhat intervals of permutation groups is graded peer reviewed on whataifound.org, with the AI's role graded search scaffold.
AlphaEvolve identified unexpected special structure in Bruhat intervals for particular permutation groups.
- Verification
- Peer reviewed
- Autonomy
- Search scaffold
- Lab
- Google DeepMind
- Model
- AlphaEvolve (Gemini-based)
- Field
- Mathematics
- Date
- 2026-01-15
What was found
Part of a continuing series of AlphaEvolve results in combinatorics. The system evolves candidate programs under a human-specified evaluation function, so the search is automated but the problem framing is human.
Novelty check
Documented as a new observation in the Quanta coverage; the specific structure was not previously catalogued.
Caveats
Reported via lab and press coverage. Independent replication status unclear at time of entry.
Sources
How this is graded
whataifound.org grades every entry on two axes: verification (how solid the result is, from a machine-checked proof down to refuted) and autonomy (how much the AI did versus its human collaborators). This finding is peer reviewed and search scaffold. Full definitions are in the methodology.
Cite this entry
whataifound.org (2026). Structure in Bruhat intervals of permutation groups. whataifound.org: A Registry of AI Scientific and Mathematical Discoveries. https://whataifound.org/finding/2026-01-alphaevolve-bruhat