Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety

DOI10.1016/j.jalgebra.2009.07.006zbMath1187.22018arXiv0904.4493OpenAlexW2041681502MaRDI QIDQ1048209

William M. McGovern, Peter E. Trapa

Publication date: 11 January 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4493

zbMATH Keywords

orbitsflag varietysmoothnesspattern avoidancerational smoothness

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

Closures of 𝐾-orbits in the flag variety for 𝑆𝑈*(2𝑛) ⋮ \(K\)-orbit closures on \(G/B\) as universal degeneracy loci for flagged vector bundles with symmetric or skew-symmetric bilinear form ⋮ $DIII$ clan combinatorics for the orthogonal Grassmannian ⋮ \(K\)-orbits on \(G/B\) and Schubert constants for pairs of signed shuffles in types \(C\) and \(D\) ⋮ Schubert calculus of richardson varieties stable under spherical Levi subgroups ⋮ Polynomials for \(\mathrm{GL}_p\times \mathrm{GL}_q\) orbit closures in the flag variety ⋮ Closures of On-Orbits in the Flag Variety for GLn ⋮ Paquets d’Arthur des groupes classiques et unitaires ⋮ Sects and lattice paths over the Lagrangian Grassmannian ⋮ Closures of \(K\)-orbits in the flag variety for \(U(p,q)\)

Cites Work

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