Matrix-ball construction of affine Robinson-Schensted correspondence

DOI10.1007/s00029-018-0402-6zbMath1384.05166arXiv1511.05861OpenAlexW2963613447WikidataQ130189588 ScholiaQ130189588MaRDI QIDQ1744773

Michael Chmutov, Elena Yudovina, Pavlo Pylyavskyy

Publication date: 19 April 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05861

zbMATH Keywords

affine Weyl groupKazhdan-Lusztig cellsRobinson-Schensted correspondencematrix-ball construction

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (9)

Two-row \(W\)-graphs in affine type \(A\) ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ Kazhdan-Lusztig cells of \(\mathbf{a} \)-value 2 in \(\mathbf{a}(2)\)-finite Coxeter systems ⋮ Monodromy in Kazhdan-Lusztig cells in affine type A ⋮ \(P\)-associahedra ⋮ Sign insertion and Kazhdan-Lusztig cells of affine symmetric groups ⋮ Quasiparabolic sets and Stanley symmetric functions for affine fixed-point-free involutions ⋮ An affine generalization of evacuation ⋮ An affine generalization of evacuation

Uses Software

• affiners

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
• Primitive ideals and orbital integrals in complex classical groups
• Representations of Coxeter groups and Hecke algebras
• The generalized Robinson-Schensted algorithm on the affine Weyl group of type \(A_{n-1}\)
• The diamond lemma for ring theory
• The based ring of two-sided cells of affine Weyl groups of type ̃𝐴_{𝑛-1}
• Finite posets and Ferrers shapes
• The structure of Sperner k-families
• The structure of Sperner k-families

This page was built for publication: Matrix-ball construction of affine Robinson-Schensted correspondence