Journal article
A $q$-deformation of enriched $P$-partitions (extended abstract)
Séminaire lotharingien de combinatoire, (86), 78
01 Apr 2022
Abstract
We introduce a $q$-deformation that generalises in a single framework previous works on classical and enriched $P$-partitions. In particular, we build a new family of power series with a parameter $q$ that interpolates between Gessel's fundamental ($q=0$) and Stembridge's peak quasisymmetric functions ($q=1$) and show that it is a basis of $\QSym$ when $q\notin\{-1,1\}$. Furthermore we build their corresponding monomial bases parametrised with $q$ that cover our previous work on enriched monomials and the essential quasisymmetric functions of Hoffman.
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Details
- Title
- A $q$-deformation of enriched $P$-partitions (extended abstract)
- Creators
- Darij Grinberg - Drexel UniversityEkaterina A. Vassilieva - École Polytechnique
- Publication Details
- Séminaire lotharingien de combinatoire, (86), 78
- Publisher
- Université Louis Pasteur
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991021862368204721