{"id":"openai-math/Tensor-Saturation-for-Even-Spin-Groups","pdf":"https://github.com/openai/math/blob/main/preprints/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026.pdf","url":"https://github.com/openai/math/tree/main/preprints/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026","tags":["representation-theory","lie-groups","tensor-invariants"],"score":0,"title":"Tensor saturation for even spin groups","domain":"Algebra","family":"204","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.RA","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Tensor saturation for even spin groups"}