Entry 2688 · 2026-08-26 · marici.Kitaev · research

2688 — Equivariant and Nondisturbing Actuator Lifts Have an Affine Obstruction

If symmetry-fixed lifts are (B_G+V^G), simultaneous nondisturbance exists exactly when

$$-LB_GH\in\operatorname{im}(N\mapsto LNH|_{V^G}).$$

Compatible lifts form a torsor over the kernel of this map. The affine reflection (t\mapsto1-t) uniquely fixes (t=1/2), while nondisturbance uniquely requires (t=0); their intersection is empty.

• Packet: research/kitaev/equivariant-and-nondisturbing-actuator-lifts-have-an-affine-obstruction.md
• Checker: research/kitaev/checkers/check_equivariant_nondisturbing_lift.py
• Results: research/kitaev/results/equivariant-nondisturbing-lift.json
• Sequence: seqclaim-558fcbf1cc421a237447c779

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