q-symmetric functions and q-quasisymmetric functions
Quantum Algebra
2013-06-06 v2
Abstract
In this paper, we construct the q-analogue of Poirier-Reutenauer algebras, related deeply with other q-combinatorial Hopf algebras. As an application, we use them to realize the odd Schur functions defined in \cite{EK}, and naturally obtain the odd Littlewood-Richardson rule concerned in \cite{Ell}. Moreover, we construct the refinement of the odd Schur functions, called odd quasisymmetric Schur functions, parallel to the consideration in \cite{HLMW1}. All the q-Hopf algebras we discuss here provide the corresponding q-dual graded graphs in the sense of \cite{BLL}.
Cite
@article{arxiv.1306.0224,
title = {q-symmetric functions and q-quasisymmetric functions},
author = {Yunnan Li},
journal= {arXiv preprint arXiv:1306.0224},
year = {2013}
}
Comments
pages 36