Preprint
Quasisymmetric expansion of Hall-Littlewood symmetric functions
ArXiv.org
03 Jun 2024
Abstract
In our previous works we introduced a $q$-deformation of the generating functions for enriched $P$-partitions. We call the evaluation of this
generating functions on labelled chains, the $q$-fundamental quasisymmetric functions. These functions interpolate between Gessel's fundamental ($q=0$) and Stembridge's peak ($q=1$) functions, the natural quasisymmetric expansions of Schur and Schur's $Q$-symmetric functions. In this paper, we show that our $q$-fundamental functions provide a quasisymmetric expansion of Hall-Littlewood $S$-symmetric functions with parameter $t=-q$.
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Details
- Title
- Quasisymmetric expansion of Hall-Littlewood symmetric functions
- Creators
- Darij Grinberg - Drexel UniversityEkaterina A Vassilieva - Laboratoire d'Informatique de l'École Polytechnique
- Publication Details
- ArXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021881458004721