Schubert calculus of richardson varieties stable under spherical Levi subgroups

DOI10.1007/s10801-013-0427-zzbMath1284.14069arXiv1209.0739OpenAlexW2157676945MaRDI QIDQ2435034

Benjamin J. Wyser

Publication date: 3 February 2014

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

Full work available at URL: https://arxiv.org/abs/1209.0739

zbMATH Keywords

Schubert varietySchubert calculusflag varietysymmetric subgroupspherical subgroupRichardson variety

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (7)

On pattern avoidance in matchings and involutions ⋮ \(K\)-orbit closures on \(G/B\) as universal degeneracy loci for flagged vector bundles splitting as direct sums ⋮ $DIII$ clan combinatorics for the orthogonal Grassmannian ⋮ Chains in weak order posets associated to involutions ⋮ Polynomials for \(\mathrm{GL}_p\times \mathrm{GL}_q\) orbit closures in the flag variety ⋮ \(\mathsf{K}\)-orbit closures and Barbasch-Evens-Magyar varieties ⋮ A classification of spherical Schubert varieties in the Grassmannian

Cites Work

• The Bruhat order on symmetric varieties
• A Littlewood-Richardson rule for two-step flag 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
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Pieri's formula for flag manifolds and Schubert polynomials
• \(K\)-orbits on \(G/B\) and Schubert constants for pairs of signed shuffles in types \(C\) and \(D\)
• A multiplicative formula for structure constants in the cohomology of flag varieties
• The Geometry of Flag Manifolds
• Algorithms for representation theory of real reductive groups
• The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
• Lectures on the Geometry of Flag Varieties
• On orbit closures of spherical subgroups in flag varieties.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Schubert calculus of richardson varieties stable under spherical Levi subgroups