{
 "id": "LIB2-102",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The registered Jordan-scaling centralizer has the printed dimension and signature",
 "statement": "The registered scaling centralizer C(Lvac) ⊂ e6(6) has dimension 30, displayed signature (18,12,0), and centre dimension 2.",
 "scope": {
  "carrier": "The registered 27-carrier and scaling operator Lvac",
  "domain": "The single registered Jordan-scaling centralizer.",
  "group": null,
  "hypotheses": [
   "Use the source’s centralizer C(Lvac) inside e6(6).",
   "Retain the displayed signature convention; no different bilinear form or real-form label is inferred."
  ],
  "physical_target": null,
  "quantifier": "The declared source class only.",
  "real_form": "e6(6)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 257
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix N",
  "section": "§6, Jordan-scaling centralizer census",
  "pdf_page": 270,
  "quote": "C(Lvac ) ⊂ e6(6) has dimension/signature/centre 30, (18, 12, 0), 2,"
 },
 "caution": "A compact subalgebra inside the centralizer does not select a complex structure, angle or physical rung-to-phase map.",
 "candidate_ids": [
  "C2-104"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-101"
  }
 ],
 "url": "/library-v2/LIB2-102/",
 "content_sha256": "29026f0207a086c3a77eade2c2e284064408a6679d3501a9eb78240bd5373a3e",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}