Insertion algorithms for Gelfand \(S_n\)-graphs

DOI10.1007/S00026-024-00701-6MaRDI QIDQ6644277

Yifeng Zhang, Eric Marberg

Publication date: 27 November 2024

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

zbMATH Keywords

recursive constructionRobinson-Schensted correspondencegeneralized Young tableaux

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graph algorithms (graph-theoretic aspects) (05C85)

Cites Work

• Title not available (Why is that?)
• The Hodge theory of Soergel bimodules.
• Combinatorial Gelfand models.
• Similar constructions for Young tableaux and involutions, and their application to shiftable tableaux
• Representations of Coxeter groups and Hecke algebras
• Dual equivalence with applications, including a conjecture of Proctor
• Balanced tableaux
• Permutation sign under the Robinson-Schensted correspondence
• Deformations of permutation representations of Coxeter groups.
• Quasiparabolic sets and Stanley symmetric functions for affine fixed-point-free involutions
• Gelfand \(W\)-graphs for classical Weyl groups
• Type \(A\) admissible cells are Kazhdan-Lusztig
• Perfect models for finite Coxeter groups
• DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY
• Combinatorics of Coxeter Groups
• Longest Increasing and Decreasing Subsequences
• Admissible 𝑊-graphs
• Gröbner geometry for skew-symmetric matrix Schubert varieties
• Bar operators for quasiparabolic conjugacy classes in a Coxeter group.

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