A note on canonical stable Grothendieck functions
Siddheswar Kundu
TL;DR
This paper introduces new proofs and rules for canonical stable Grothendieck functions, extending the combinatorial understanding of these polynomials and their stability properties.
Contribution
It provides a novel proof of the Murnaghan-Nakayama rule for stable Grothendieck polynomials and establishes a similar rule for canonical stable Grothendieck functions.
Findings
New proof of Murnaghan-Nakayama rule for stable Grothendieck polynomials
Murnaghan-Nakayama rule established for canonical stable Grothendieck functions
Enhanced combinatorial framework for Grothendieck functions
Abstract
In this article, we offer a new way to prove the Murnaghan-Nakayama type rule for the stable Grothendieck polynomials, originally established by Nguyen-Hiep-Son-Thuy. Additionally, we establish a Murnaghan-Nakayama type rule for cannoical stable Grothendieck functions.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Advanced Combinatorial Mathematics · Geometry and complex manifolds