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Closures of ๐พ-orbits in the flag variety for ๐‘†๐‘ˆ*(2๐‘›)

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Publication:2889335
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DOI10.1090/S1088-4165-2011-00386-1zbMath1247.22016arXiv0907.1049OpenAlexW1607453942MaRDI QIDQ2889335

William M. McGovern

Publication date: 7 June 2012

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1049

zbMATH Keywords

flag varietypattern avoidancerational smoothness


Mathematics Subject Classification ID

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


Related Items

On pattern avoidance in matchings and involutions, Closures of On-Orbits in the Flag Variety for GLn



Cites Work

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  • Criteria for rational smoothness of some symmetric orbit closures.
  • Criterion for smoothness of Schubert varieties in Sl(n)/B
  • 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
  • Classical Bruhat orders and lexicographic shellability
  • Pattern avoidance and rational smoothness of Schubert varieties
  • Rational smoothness and fixed points of torus actions
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