Refined dual Grothendieck polynomials, integrability, and the Schur measure

zbMath1505.05134arXiv2012.15011MaRDI QIDQ2680904

Travis Scrimshaw, Kohhei Motegi

Publication date: 5 January 2023

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

Full work available at URL: https://arxiv.org/abs/2012.15011

zbMATH Keywords

integrable systemvertex modeldual Grothendieck polynomial

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (4)

Free fermions and canonical Grothendieck polynomials ⋮ Free fermions and Schur expansions of multi-Schur functions ⋮ MacMahon’s statistics on higher-dimensional partitions ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials

Uses Software

• SageMath

Cites Work

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• Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
• Duality and deformations of stable Grothendieck polynomials
• Dual Grothendieck polynomials via last-passage percolation
• Algebraic aspects of increasing subsequences
• Shape fluctuations and random matrices
• Free-fermions and skew stable Grothendieck polynomials
• Random plane partitions and corner distributions
• Finite sum Cauchy identity for dual Grothendieck polynomials
• A multi-dimensional Markov chain and the Meixner ensemble
• Jacobi-Trudi formulas for flagged refined dual stable Grothendieck polynomials
• Vertex models, TASEP and Grothendieck polynomials
• Combinatorial Hopf Algebras and K-Homology of Grassmanians
• Determinantal formulas for dual Grothendieck polynomials
• The flagged double Schur function

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