# LIB2-195 — The frozen symplectic braid representation has a nonscalar centre

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.313)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The registered B1 and B2 give a symplectic representation B3 → Sp(V56) with nonscalar centre (B1B2)³ = I − 2Pact; only the active sector projectivizes to PSL(2,Z).

## Caution

The representation does not supply the missing functor to the winding category or identify the trace-three word with a physical lepton neck.

## Primary source

Appendix T, §14.2, Braid representation and centre, PDF p.331: "exactly and are symplectic: a genuine representation B3 → Sp(V56 ). The centre is computed and is not scalar — (B1 B2 )3 = I − 2Pact — so there is no global PSL(2, Z); only the active sector projectivizes."

## Machine

- url: /library-v2/LIB2-195/
- content_sha256: 70fa18092207fb1df5172f088b93538fe3d78c8f138e23f59921ec3a7a57ac92
- candidate_ids: C2-104

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP