Crystal structures for symmetric Grothendieck polynomials (Q5918089)

scientific article; zbMATH DE number 7393558

Language	Label	Description	Also known as
English	Crystal structures for symmetric Grothendieck polynomials	scientific article; zbMATH DE number 7393558

Statements

instance of

scholarly article

0 references

title

Crystal structures for symmetric Grothendieck polynomials (English)

0 references

0 references

0 references

0 references

Transformation Groups

0 references

publication date

9 September 2021

0 references

full work available at URL

https://arxiv.org/abs/1807.03294

0 references

zbMATH Keywords

$A_n$ crystal structure

0 references

Schur polynomials

0 references

K theory of Grassmannians

0 references

Schubert classes

0 references

describes a project that uses

Sage-Combinat

0 references

SageMath

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs

0 references

A Demazure crystal construction for Schubert polynomials

0 references

Kohnert tableaux and a lifting of quasi-Schur functions

0 references

Tableau switching: Algorithms and applications

0 references

Combinatorics of Coxeter Groups

0 references

Proofs and generalizations of a homomesy conjecture of Propp and Roby

0 references

The Schubert Calculus, Braid Relations, and Generalized Cohomology

0 references

Multiple Dirichlet series, $L$-functions and automorphic forms

0 references

Schur polynomials and the Yang-Baxter equation

0 references

A Littlewood-Richardson rule for the $K$-theory of Grassmannians.

0 references

Stable Grothendieck polynomials and $K$-theoretic factor sequences

0 references

$K$-theory of minuscule varieties

0 references

Crystal Bases

0 references

The Berenstein-Kirillov group and cactus groups

0 references

Q5431018

0 references

Q4141357

0 references

Balanced tableaux

0 references

Noncommutative Schur functions and their applications

0 references

Q3129746

0 references

$K$-Knuth equivalence for increasing tableaux

0 references

A Littlewood-Richardson rule for dual stable Grothendieck polynomials

0 references

Variations on a theme of Schubert calculus

0 references

Quantum integrability and generalised quantum Schubert calculus

0 references

Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

0 references

Dual equivalence with applications, including a conjecture of Proctor

0 references

A Thom-Porteous formula for connective K-theory using algebraic cobordism

0 references

Q3998721

0 references

Excited Young diagrams and equivariant Schubert calculus

0 references

$K$-theoretic analogues of factorial Schur $P$- and $Q$-functions

0 references

A proof of $K$-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions

0 references

Colorful combinatorics and Macdonald polynomials

0 references

Reflection groups and invariant theory

0 references

Crystalizing the q-analogue of universal enveloping algebras

0 references

On crystal bases of the $q$-analogue of universal enveloping algebras

0 references

The crystal base and Littelmann's refined Demazure character formula

0 references

Notes on Schubert, Grothendieck and key polynomials

0 references

Schubert Calculus

0 references

Gröbner geometry of vertex decompositions and of flagged tableaux

0 references

Q4650699

0 references

Q3978180

0 references

Affine Stanley symmetric functions

0 references

Combinatorial Hopf Algebras and K-Homology of Grassmanians

0 references

K-theory Schubert calculus of the affine Grassmannian

0 references

0 references

0 references

0 references

0 references

Combinatorial aspects of the $K$-theory of Grassmannians

0 references

On the combinatorics of crystal graphs. I: Lusztig's involution

0 references

Structure constants for $K$-theory of Grassmannians, revisited

0 references

Crystal graphs and Young tableaux

0 references

Crystals from 5-vertex ice models

0 references

An explicit construction of type A Demazure atoms

0 references

Q5336354

0 references

$K$-theoretic polynomials

0 references

A crystal on decreasing factorizations in the 0-Hecke monoid

0 references

Crystal Approach to Affine Schubert Calculus

0 references

Vertex models, TASEP and Grothendieck polynomials

0 references

K-theoretic boson–fermion correspondence and melting crystals

0 references

Combinatorics of $K$-theory via a $K$-theoretic Poirier-Reutenauer bialgebra

0 references

Decompositions of Grothendieck Polynomials

0 references

EQUIVARIANT -THEORY OF GRASSMANNIANS

0 references

Genomic tableaux

0 references

Puzzles in $K$-homology of Grassmannians

0 references

Key polynomials and a flagged Littlewood-Richardson rule

0 references

Poset edge densities, nearly reduced words, and barely set-valued tableaux

0 references

Combinatorial rules for three bases of polynomials

0 references

Promotion des morphismes d'ensembles ordonnes

0 references

Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties

0 references

On the number of reduced decompositions of elements of Coxeter groups

0 references

Q4236280

0 references

Promotion and evacuation

0 references

A local characterization of simply-laced crystals

0 references

A jeu de taquin theory for increasing tableaux, with application to $K$-theoretic Schubert calculus

0 references

Longest increasing subsequences, Plancherel-type measure and the Hecke insertion algorithm

0 references

Equivariant Schubert calculus and jeu de taquin

0 references

A geometric Littlewood-Richardson rule

0 references

Q4536186

0 references

Littlewood-Richardson coefficients for Grothendieck polynomials from integrability

0 references

Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs

0 references

Identifiers

zbMATH Open document ID

1472.05152

0 references

DOI

10.1007/s00031-020-09623-y

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5918089