Topological Noetherianity of the infinite half-spin representations
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e75

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We prove that the infinite half-spin representations are topologically Noetherian with respect to the infinite spin group. As a consequence, we obtain that half-spin varieties, which we introduce, are defined by the pullback of equations at a finite level. The main example for such varieties is the infinite isotropic Grassmannian in its spinor embedding, for which we explicitly determine its defining equations.
Chiu, Christopher; Draisma, Jan; Eggermont, Rob; Seynnaeve, Tim; Tairi, Nafie. Topological Noetherianity of the infinite half-spin representations. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e75. doi: 10.1017/fms.2025.32
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