Closures of On-Orbits in the Flag Variety for GLn

DOI10.1007/978-3-030-23531-4_10zbMath1436.22012arXiv2010.07114OpenAlexW2076484469MaRDI QIDQ3296301

William M. McGovern

Publication date: 7 July 2020

Published in: Representations and Nilpotent Orbits of Lie Algebraic Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07114

zbMATH Keywords

flag varietypattern avoidancerational smoothness

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Grassmannians, Schubert varieties, flag manifolds (14M15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

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• Criteria for rational smoothness of some symmetric orbit closures.
• The Bruhat order on symmetric varieties
• Closures of \(K\)-orbits in the flag variety for \(U(p,q)\)
• Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety
• Rational smoothness and fixed points of torus actions
• Singular loci of Schubert varieties
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Closures of 𝐾-orbits in the flag variety for 𝑆𝑈*(2𝑛)

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