\(K\)-theoretic polynomials

MaRDI QIDQ2306446

Cara Monical, Oliver Pechenik, Dominic Searles

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//10.html

zbMATH Keywords

kaonsquasiGrothendieck polynomialsquasiLascoux basis

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (7)

Noncommutative LR coefficients and crystal reflection operators ⋮ Crystal structures for canonical Grothendieck functions ⋮ Colored five-vertex models and Lascoux polynomials and atoms ⋮ Crystal structures for canonical and dual weak symmetric Grothendieck functions ⋮ Asymmetric Function Theory ⋮ Crystal structures for symmetric Grothendieck polynomials ⋮ K-theoretic crystals for set-valued tableaux of rectangular shapes

Cites Work

• Notes on Schubert, Grothendieck and key polynomials
• Quasisymmetric Schur functions
• Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams
• Combinatorial rules for three bases of polynomials
• An explicit construction of type A Demazure atoms
• Key polynomials and a flagged Littlewood-Richardson rule
• Kohnert tableaux and a lifting of quasi-Schur functions
• A Thom-Porteous formula for connective K-theory using algebraic cobordism
• Refinements of the Littlewood-Richardson rule
• Polynomials from Combinatorial -theory
• Decompositions of Grothendieck Polynomials
• Combinatorial Hopf Algebras and K-Homology of Grassmanians
• Crystal structures for symmetric Grothendieck polynomials
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