Quasiparabolic sets and Stanley symmetric functions for affine fixed-point-free involutions

DOI10.1016/j.jalgebra.2021.08.006zbMath1476.05202arXiv1911.05961OpenAlexW3195952680MaRDI QIDQ1984364

Yifeng Zhang

Publication date: 16 September 2021

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

Full work available at URL: https://arxiv.org/abs/1911.05961

zbMATH Keywords

Bruhat orderStanley symmetric functionsaffine symmetric groupsquasiparabolic sets

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (2)

Affine transitions for involution Stanley symmetric functions ⋮ Bumping operators and insertion algorithms for queer supercrystals

Uses Software

• Virtual Permutations

Cites Work

• Unnamed Item
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• Balanced tableaux
• Deformations of permutation representations of Coxeter groups.
• Admissible \(W\)-graphs and commuting Cartan matrices
• Fixed-point-free involutions and Schur \(P\)-positivity
• Involution words. II: Braid relations and atomic structures
• A Little bijection for affine Stanley symmetric functions
• Combinatorics of Coxeter Groups
• Affine Stanley symmetric functions
• Admissible 𝑊-graphs
• Schubert polynomials for the affine Grassmannian
• Bar operators for quasiparabolic conjugacy classes in a Coxeter group.

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