{
 "id": "LIB2-017",
 "entry_version": 11,
 "class": "CLAIM",
 "title": "The boundary and selector tens have no equivariant linear intertwiner",
 "statement": "The boundary-adjoint ten and selector ten are inequivalent Kdyn modules: the boundary-adjoint ten has Casimir 1/4 and the selector ten has Casimir 1/6, and HomKdyn = 0.",
 "scope": {
  "carrier": "Boundary-adjoint ten and selector Π10 sector",
  "domain": "Linear Kdyn-equivariant maps between the named modules.",
  "group": "Kdyn",
  "hypotheses": [
   "The boundary tangent module, selector sector and registered Casimir normalization are fixed."
  ],
  "physical_target": null,
  "quantifier": "The boundary and selector modules in the declared class.",
  "real_form": "Registered real Kdyn modules"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 296
 },
 "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 S",
  "section": "§9.2, Theorem 9.2: declared-class negative",
  "pdf_page": 313,
  "quote": "The boundary ten (the tangent module of the priced ten-continuous boundary object of Appendix E’s closure section) and the selector ten (the Π10 sector) are inequivalent Kdyn -modules: their Casimirs are 14 I and 16 I exactly, so HomKdyn = 0 by Schur"
 },
 "caution": "The linear-intertwiner obstruction does not exclude the separately counted nonlinear or symmetry-breaking bridge classes.",
 "candidate_ids": [
  "C2-109"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-016"
  }
 ],
 "url": "/library-v2/LIB2-017/",
 "content_sha256": "5379d27a50eaecdb5f3ced5559197c543552840222775372d0d082eddacc107b",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}