Smooth and palindromic Schubert varieties in affine Grassmannians

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dc.creatorBilley, Sara C.
dc.creatorMitchell, Stephen A.
dc.date2007-12-18
dc.date.accessioned2026-07-07T08:49:50Z
dc.date.available2026-07-07T08:49:50Z
dc.descriptionLet G be a simply-connected simple compact Lie group over the complex numbers. The affine Grassmannian is a projective ind-variety, homotopy-equivalent to the loop space of G and closely analogous to a maximal flag variety of the classical Grassmannian manifold. It has a Schubert cell decomposition indexed by the coroot lattice or equivalently by the minimal length coset representatives for the affine Weyl group modulo the Weyl group for G. The closure of an affine Schubert cell is a finite dimensional projective variety that we call an affine Schubert variety. In this paper we completely determine the smooth and palindromic (rationally smooth) affine Schubert varieties.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/0712.2871
dc.identifierhttp://arxiv.org/abs/0712.2871
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144448
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M15; 05E15; 22E67
dc.titleSmooth and palindromic Schubert varieties in affine Grassmannians
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