Smooth and palindromic Schubert varieties in affine Grassmannians

DOI10.1007/s10801-009-0181-4zbMath1235.14048arXiv0712.2871OpenAlexW2130348363MaRDI QIDQ968243

Sara C. Billey, Stephen A. Mitchell

Publication date: 5 May 2010

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2871

zbMATH Keywords

Schubert varietiesaffine Grassmannians

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items

Smooth Schubert varieties in \(G/B\) and \(B\)-submodules of \(\mathfrak{g}/\mathfrak{b}\), The Bruhat order, the lookup conjecture and spiral Schubert varieties of type \(\tilde{A}_2\), Smooth Schubert varieties in the affine flag variety of type \(\tilde{A}\), Conormal varieties on the cominuscule Grassmannian. II, The smooth loci of spiral Schubert varieties of type A ̃ 2 $$\widetilde{A}_{2}$$, Conormal varieties on the cominuscule Grassmannian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smooth points of \(T\)-stable varieties in \(G\)/\(B\) and the Peterson map
• Singular loci of Schubert varieties
• Reflection processes on graphs and Weyl groups
• On the fully commutative elements of Coxeter groups
• A filtration of the loops on SU\((N)\) by Schubert varieties
• Kac-Moody groups, their flag varieties and representation theory
• The nil Hecke ring and singularity of Schubert varieties
• Affine partitions and affine Grassmannians
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Combinatorics of Coxeter Groups
• An application of the Morse theory to the topology of Lie-groups
• A Characterization of Homology Manifolds