Vertex models for Canonical Grothendieck polynomials and their duals
نویسندگان
چکیده
We study exactly solvable lattice models associated to canonical Grothendieck polynomials and their duals. derive inversion relations Cauchy identities.
منابع مشابه
Combinatorial Formulae for Grothendieck-demazure and Grothendieck Polynomials
∂if = f− sif xi − xi+1 where si acts on f by transposing xi and xi+1 and let π̃i = ∂i(xi(1− xi+1)f) Then the Grothendieck-Demazure polynomial κα, which is attributed to A. Lascoux and M. P. Schützenberger, is defined as κα = x α1 1 x α2 2 x α3 3 ... if α1 ≥ α2 ≥ α3 ≥ ..., i.e. α is non-increasing, and κα = π̃iκαsi if αi < αi+1, where si acts on α by transposing the indices. Example 2.1. Let α = (...
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ژورنال
عنوان ژورنال: Algebraic combinatorics
سال: 2023
ISSN: ['2589-5486']
DOI: https://doi.org/10.5802/alco.235