Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 204-01. Tensor saturation for even spin groups

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Authors: OpenAI. Family 204.

Title: Tensor saturation for even spin groups.

Abstract: We prove the saturation conjecture for ${}mathop{{}mathrm{Spin}}{}nolimits (2n)$, n ≥ 2. If three dominant integral weights sum to an element of the root lattice, then the existence of a nonzero tensor invariant after a positive integral dilation implies the existence of one at the original weights.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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