Noncommutative unicellular LLT polynomials
Combinatorics
2020-03-23 v3
Abstract
It is known that unicellular LLT polynomials are related to the quasi-symmetric chromatic polynomials of certain graphs by the -transform of symmetric functions. We investigate the extension of this transformation to various combinatorial Hopf algebras and prove a noncommutative version of this property.
Cite
@article{arxiv.1907.00077,
title = {Noncommutative unicellular LLT polynomials},
author = {Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:1907.00077},
year = {2020}
}
Comments
23 pages, latex