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February 26, 20260 citationsOpen Access

Topological Noetherianity of the infinite half-spin representations

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CCChristopher ChiuJDJan DraismaRERob H. Eggermont

Key Points

  • The aim is to establish the topological Noetherianity of infinite half-spin representations and introduce half-spin varieties.
  • Proved topological Noetherianity for infinite half-spin representations
  • Introduced half-spin varieties
  • Determined defining equations for the infinite isotropic Grassmannian in its spinor embedding.
  • Half-spin varieties are defined by equations at a finite level
  • Explicit defining equations for the infinite isotropic Grassmannian were determined

Abstract

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.

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Cite This Study

Chiu et al. (2025) studied this question.

synapsesocial.com/papers/699f95ba1bc9fecf3dab3e1dhttps://doi.org/10.48620/92914
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