# LIB2-017 — The boundary and selector tens have no equivariant linear intertwiner

- 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.296)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## 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.

## Caution

The linear-intertwiner obstruction does not exclude the separately counted nonlinear or symmetry-breaking bridge classes.

## Primary source

Appendix S, §9.2, Theorem 9.2: declared-class negative, PDF p.313: "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"

## Machine

- url: /library-v2/LIB2-017/
- content_sha256: 5379d27a50eaecdb5f3ced5559197c543552840222775372d0d082eddacc107b
- candidate_ids: C2-109

## Freshness

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