A lift of Schur's Q-functions to the peak algebra
Combinatorics
2020-09-08 v2 Quantum Algebra
Abstract
We construct a lift of Schur's Q-functions to the peak algebra of the symmetric group, called the noncommutative Schur Q-functions, and extract from them a new natural basis with several nice properties such as the positive right-Pieri rule, combinatorial expansion, etc. Dually, we get a basis of the Stembridge algebra of peak functions refining Schur's P-functions in a simple way.
Keywords
Cite
@article{arxiv.1408.6045,
title = {A lift of Schur's Q-functions to the peak algebra},
author = {Naihuan Jing and Yunnan Li},
journal= {arXiv preprint arXiv:1408.6045},
year = {2020}
}
Comments
22 pages, 20refs