Dual graphs from noncommutative and quasisymmetric Schur functions
Combinatorics
2019-07-31 v1
Abstract
By establishing relations between operators on compositions, we show that the posets of compositions arising from the right and left Pieri rules for noncommutative Schur functions can each be endowed with both the structure of dual graded graphs and dual filtered graphs when paired with the poset of compositions arising from the Pieri rules for quasisymmetric Schur functions and its deformation.
Keywords
Cite
@article{arxiv.1907.13094,
title = {Dual graphs from noncommutative and quasisymmetric Schur functions},
author = {Stephanie van Willigenburg},
journal= {arXiv preprint arXiv:1907.13094},
year = {2019}
}
Comments
16 pages, 15 page final version to appear in Proc. Amer. Math. Soc. plus one extra page illustrating the posets. arXiv admin note: substantial text overlap with arXiv:1512.04614