Diagrams and essential sets for signed permutations

zbMath1412.14033arXiv1612.08670MaRDI QIDQ1671672

David Anderson

Publication date: 7 September 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08670

zbMATH Keywords

Schubert varietysigned permutationrank conditionessential setRothe diagram

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15) Combinatorial aspects of commutative algebra (05E40)

Related Items (5)

The multiplicity of a singularity in a vexillary Schubert variety ⋮ Gröbner bases, symmetric matrices, and type C Kazhdan–Lusztig varieties ⋮ Theta-vexillary signed permutations ⋮ Vexillary signed permutations revisited ⋮ Multiplicities of Schubert varieties in the symplectic flag variety

Cites Work

• Bijection between bigrassmannian permutations maximal below a permutation and its essential set
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Balanced labellings and Schubert polynomials
• Bases for the Bruhat-Chevalley order on all finite Coxeter groups
• Lattices and bases of Coxeter groups
• Schubert varieties and degeneracy loci
• Order dimension, strong Bruhat order and lattice properties for posets
• Combinatorics of Fulton's essential set
• Factorizations in Schubert cells
• Combinatorics of Coxeter Groups
• Presenting the cohomology of a Schubert variety
• Chern class formulas for classical-type degeneracy loci

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