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Arthur742Ramos/SpinorLean

Arthur F. Ramos, David B. Hulak, Ruy J. G. B. de Queiroz

Palomar Registrypalomar/PALOMAR-2026-08-27-000017Aug 27, 2026math.RAscore 0

Formalizes an exterior-model spinor construction for a field K in which 2 is invertible, using an explicit hyperbolic presentation and the Clifford conjugation action on the ambient quadratic space. The development proves field-sensitive covering and image results: the positive split-rank spin-to-isometry kernel is {1,-1}, the spin action therefore descends only projectively, the split-line image is exactly the square-scaling subgroup, and a finite-dimensional split Levi element associated to g lies in the ambient spin image exactly when det(g) is a square unit. The repository also packages…

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