A note on canonical stable Grothendieck functions

2025/11/02 by Kundu, Siddheswar
#05E05 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2511.00830

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.

Citations

• A combinatorial proof of a plethystic Murnaghan--Nakayama rule
• A Murnaghan-Nakayama Rule For Noncommutative Schur Functions

Related

• Refined canonical stable Grothendieck polynomials and their duals, Part 1
• Refined canonical stable Grothendieck polynomials and their duals, Part 2
• On the Pieri rules of stable and dual stable Grothendieck polynomials
• Residues, Grothendieck polynomials and K-theoretic Thom polynomials
• The "Grothendieck to Lascoux" conjecture