DOAJ Open Access 2014

Super quasi-symmetric functions via Young diagrams

Jean-Christophe Aval Valentin Féray Jean-Christophe Novelli J.-Y. Thibon

Lihat Sumber DOI

Abstrak

We consider the multivariate generating series $F_P$ of $P-$partitions in infinitely many variables $x_1, x_2, \ldots$ . For some family of ranked posets $P$, it is natural to consider an analog $N_P$ with two infinite alphabets. When we collapse these two alphabets, we trivially recover $F_P$. Our main result is the converse, that is, the explicit construction of a map sending back $F_P$ onto $N_P$. We also give a noncommutative analog of the latter. An application is the construction of a basis of $\mathbf{WQSym}$ with a non-negative multiplication table, which lifts a basis of $\textit{QSym}$ introduced by K. Luoto.

Topik & Kata Kunci

Mathematics

Penulis (4)

Jean-Christophe Aval

Valentin Féray

Jean-Christophe Novelli

J.-Y. Thibon

Format Sitasi

APA MLA BibTeX

Aval, J., Féray, V., Novelli, J., Thibon, J. (2014). Super quasi-symmetric functions via Young diagrams. https://doi.org/10.46298/dmtcs.2390

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2390

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2390
Akses: Open Access ✓