Sign insertion and Kazhdan-Lusztig cells of affine symmetric groups

DOI10.5802/alco.233OpenAlexW4321785844MaRDI QIDQ2695968

Pavlo Pylyavskyy, Dongkwan Kim

Publication date: 5 April 2023

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

Full work available at URL: https://arxiv.org/abs/2011.00381

zbMATH Keywords

Kazhdan-Lusztig cellsaffine symmetric groupaffine matrix-ball constructionLascoux-Schützenberger standardizationsign insertion

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of infinite symmetric groups (20C32) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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• Cyclage, catabolism, and the affine Hecke algebra.
• 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 \(A_{n-1}\)
• Matrix-ball construction of affine Robinson-Schensted correspondence
• Graded characters of modules supported in the closure of a nilpotent conjugacy class
• Two-row \(W\)-graphs in affine type \(A\)
• An affine generalization of evacuation

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