2.0.0 — Reference foundation

Dataset: 2026.11-foundation.1 · Schema: 2.0.0 · Application: 2.0.0 · Mathematical engine: groups-design-1.0.0.

Catalogue

This historical edition contained 194 mathematical records, 2166 assertions, and 87 distinct source records: 86 groups, 33 families, 37 Lie algebras, 19 real forms, 17 maps, and 2 spaces. These counts describe release 2.0.0, not the current catalogue.

Finite-simple classification includes all 18 infinite families, 26 sporadic records, and a separate Tits-group record. The reference expansion includes 15 additional practical finite groups and 30 additional Lie groups.

Foundations

Canonical static routes, type-aware search, claim and source pages, exact-order JSON exports, record citations, capability coverage, review fingerprints, and correction packets are implemented. Astro renders reference content as HTML. Starlight provides the Learn and Reference reading structure.

Calculators

All five mathematical contracts are preserved. Queries and exported calculation routes now use canonical URLs. The principal SU(3) branching LaTeX export correctly identifies its image as SO(3); the earlier UI and mathematical decomposition were already correct.

Verification and review

The repository includes the original ten mathematical sections, seven migration/export sections, and nineteen independent foundation acceptance sections. These are automated checks and AI-assisted scientific audits, not independent human expert approval.

Named mathematics and physics review remains tracked per current content fingerprint. Inspect review status.

Release boundaries

No general noncompact unitary dual, arbitrary branching engine, complete matrix library, broad cohomology calculation, or anomaly classifier is claimed. The site’s existing audience is preserved; this release does not configure the public groups.qft.org domain.