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Topological Noetherianity of the infinite half-spin representations
- Publication Year :
- 2024
-
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.<br />Comment: 30 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.10274
- Document Type :
- Working Paper