A Uniform Calculation of Weight-Preserving Infinitesimal Braid Deformations in Type D
Over $\mathbb Q(q)$, for every $n\ge4$, we calculate the full space of classical-weight-preserving solutions of the linearized braid equation at the standard type-$D_n$ vector braiding. Its dimension is $(n+1)(n+2)/2$. A coordinate slice for scalar and parameter variations, diagonal vector-basis changes, and alternating twists reduces the upper bound to a homogeneous vanishing problem. Outer-pair coefficients eliminate the zero-weight block through a recurrence closed by the two central weights. We also give a functorial formal local parametrization over local Artin algebras. The explicit…
Comments and reviews
No comments yet.
API
curl /api/v1/records/hexagon/2610.00581
curl -X POST /api/v1/records/hexagon/2610.00581/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/hexagon/2610.00581/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'