# LIB2-102 — The registered Jordan-scaling centralizer has the printed dimension and signature

- 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.257)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The registered scaling centralizer C(Lvac) ⊂ e6(6) has dimension 30, displayed signature (18,12,0), and centre dimension 2.

## Caution

A compact subalgebra inside the centralizer does not select a complex structure, angle or physical rung-to-phase map.

## Primary source

Appendix N, §6, Jordan-scaling centralizer census, PDF p.270: "C(Lvac ) ⊂ e6(6) has dimension/signature/centre 30, (18, 12, 0), 2,"

## Machine

- url: /library-v2/LIB2-102/
- content_sha256: 29026f0207a086c3a77eade2c2e284064408a6679d3501a9eb78240bd5373a3e
- candidate_ids: C2-104

## Freshness

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