OpenAI reports tensor saturation for even spin groups

For G=Spin(2n), n≥2, if three dominant integral weights sum to the root lattice, then a nonzero invariant in their tensor product after any positive integral dilation implies a nonzero invariant at the original weights.

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Understanding the problem

Read the background

For G=Spin(2n), n≥2, if three dominant integral weights sum to the root lattice, then a nonzero invariant in their tensor product after any positive integral dilation implies a nonzero invariant at the original weights.

Why it matters

If correct, proves the type-D saturation conjecture for every rank, including spin weights.

What counts as progress

Does tensor saturation hold for every even spin group under the root-lattice condition?

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