Shifted Hecke insertion and \(K\)-theory of \(OG(n,2n+1)\)

zbMath1384.05159MaRDI QIDQ1745104

Adam Keilthy, Shuqi Zhou, Rebecca Patrias, Zachary Hamaker, Yinuo Zhang, Lillian Webster

Publication date: 20 April 2018

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

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/14%20Hamaker%20Keilthy%20Patrias%20Webster%20Zhang%20Zhou.html

zbMATH Keywords

\(K\)-theorysymmetric functionsinsertion algorithms

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Cites Work

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• \(K\)-theory of minuscule varieties
• \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
• Longest increasing subsequences, Plancherel-type measure and the Hecke insertion algorithm
• Combinatorics of \(K\)-theory via a \(K\)-theoretic Poirier-Reutenauer bialgebra
• The shifted Poirier-Reutenauer algebra
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Shifted Hecke insertion and the \(K\)-theory of \(\mathrm{OG}(n,2n+1)\)
• \(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux
• Stable Grothendieck polynomials and \(K\)-theoretic factor sequences
• Dual Filtered Graphs
• Pieri rules for the K-theory of cominuscule Grassmannians
• Combinatorial Hopf Algebras and K-Homology of Grassmanians