Files and links (1)
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
Noncommutative Schur functions for posets
arXiv (Cornell University)
07 Nov 2022
Abstract
The machinery of noncommutative Schur functions is a general approach to
Schur positivity of symmetric functions initiated by Fomin-Greene. Hwang
recently adapted this theory to posets to give a new approach to the
Stanley-Stembridge conjecture. We further develop this theory to prove that the
symmetric function associated to any $P$-Knuth equivalence graph is Schur
positive. This settles a conjecture of Kim and the third author, and refines
results of Gasharov, Shareshian-Wachs, and Hwang on the Schur positivity of
chromatic symmetric functions.
Metrics
5 Record Views
Details
- Title
- Noncommutative Schur functions for posets
- Creators
- Jonah BlasiakHolden ErikssonPavlo PylyavskyyIsaiah Siegl
- Publication Details
- arXiv (Cornell University)
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021862386904721