A Note on Specializations of Grothendieck Polynomials
Combinatorics
2020-02-13 v2
Abstract
Buch and Rim\'{a}nyi proved a formula for specializations of double Grothendieck polynomials based on the Yang-Baxter equation related to the degenerate Hecke algebra. A geometric proof was found by Yong and Woo by constructing a Gr\"{o}bner basis for the Kazhdan-Lusztig ideals. In this note, we give an elementary proof for this formula by using only divided difference operators.
Keywords
Cite
@article{arxiv.1811.11596,
title = {A Note on Specializations of Grothendieck Polynomials},
author = {Neil J. Y. Fan and Peter L. Guo},
journal= {arXiv preprint arXiv:1811.11596},
year = {2020}
}
Comments
8 pages, 2 figures