Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory

zbMath1435.05228MaRDI QIDQ5919525

Soichi Okada, Hiroshi Naruse

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//9.html

zbMATH Keywords

equivariant \(K\)-theory\(P\)-partitions\(d\)-complete posetshook formulas

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Combinatorics of partially ordered sets (06A07) Equivariant (K)-theory (19L47)

Cites Work

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• The Hillman-Grassl correspondence and the enumeration of reverse plane partitions
• Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets
• Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• Equivariant K-Chevalley rules for Kac-Moody flag manifolds
• K-theory Schubert calculus of the affine Grassmannian
• Theory and Application of Plane Partitions. Part 2
• The Hook Graphs of the Symmetric Group

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