Closures of \(K\)-orbits in the flag variety for \(U(p,q)\)

DOI10.1016/j.jalgebra.2009.07.005zbMath1185.14040arXiv0905.0127OpenAlexW2963994039MaRDI QIDQ1048208

William M. McGovern

Publication date: 11 January 2010

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

Full work available at URL: https://arxiv.org/abs/0905.0127

zbMATH Keywords

flag varietiesrepresentation theoryrational smoothness

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35)

Related Items (10)

Closures of 𝐾-orbits in the flag variety for 𝑆𝑈*(2𝑛) ⋮ \(K\)-orbits on \(G/B\) and Schubert constants for pairs of signed shuffles in types \(C\) and \(D\) ⋮ Sects ⋮ 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 ⋮ Governing singularities of symmetric orbit closures ⋮ Counting Borel orbits in symmetric spaces of types BI and CII ⋮ Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety ⋮ \(\mathsf{K}\)-orbit closures and Barbasch-Evens-Magyar varieties

Cites Work

• Criterion for smoothness of Schubert varieties in Sl(n)/B
• Singularities of closures of K-orbits on flag manifolds
• The Bruhat order on symmetric varieties
• Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety
• A remark on the orthogonality relations for Green functions
• Pattern avoidance and rational smoothness of Schubert varieties
• Singular loci of Schubert varieties
• Richardson orbits for real classical groups
• Smoothness of Schubert varieties via patterns in root subsystems
• Unnamed Item
• Unnamed Item

This page was built for publication: Closures of \(K\)-orbits in the flag variety for \(U(p,q)\)