Littlewood-Richardson coefficients for Grothendieck polynomials from integrability

DOI10.1515/crelle-2017-0033zbMath1428.05323arXiv1607.02396OpenAlexW2963334448MaRDI QIDQ2009895

Paul Zinn-Justin, Michael Wheeler

Publication date: 2 December 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02396

zbMATH Keywords

Grassmannian permutations

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

Related Items (22)

EQUIVARIANT -THEORY OF GRASSMANNIANS ⋮ Stochastic symplectic ice ⋮ Quasi-solvable lattice models for and Demazure atoms and characters ⋮ Crystal structures for canonical Grothendieck functions ⋮ Colored fermionic vertex models and symmetric functions ⋮ Double Grothendieck polynomials and colored lattice models ⋮ Frozen pipes: lattice models for Grothendieck polynomials ⋮ Grothendieck lines in 3d \(\mathcal{N} = 2\) SQCD and the quantum K-theory of the Grassmannian ⋮ Free fermions and canonical Grothendieck polynomials ⋮ Free fermions and Schur expansions of multi-Schur functions ⋮ Colored five-vertex models and Lascoux polynomials and atoms ⋮ Schubert calculus and quiver varieties ⋮ Vertex models for canonical Grothendieck polynomials and their duals ⋮ Colored five-vertex models and Demazure atoms ⋮ A class of partition functions associated with E τ,η gl3 by Izergin–Korepin analysis ⋮ Integrability approach to Fehér-Némethi-Rimányi-Guo-Sun type identities for factorial Grothendieck polynomials ⋮ Integrable models and \(K\)-theoretic pushforward of Grothendieck classes ⋮ Crystal structures for symmetric Grothendieck polynomials ⋮ Puzzles in \(K\)-homology of Grassmannians ⋮ Colored five‐vertex models and Lascoux polynomials and atoms ⋮ Izergin-Korepin analysis on the wavefunctions of the \(U_q(\mathrm{sl}_2)\) six-vertex model with reflecting end ⋮ Yang–Baxter algebras, convolution algebras, and Grassmannians

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