Geodesic
Super quasi-symmetric functions via Young diagrams
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014).

Voir la notice de l'article provenant de la source Episciences

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. 
@article{DMTCS_2014_special_265_a15,
     author = {Aval, Jean-Christophe and F\'eray, Valentin and Novelli, Jean-Christophe and Thibon, J.-Y.},
     title = {Super quasi-symmetric functions via {Young} diagrams},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)},
     year = {2014},
     doi = {10.46298/dmtcs.2390},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2390/}
}
TY  - JOUR
AU  - Aval, Jean-Christophe
AU  - Féray, Valentin
AU  - Novelli, Jean-Christophe
AU  - Thibon, J.-Y.
TI  - Super quasi-symmetric functions via Young diagrams
JO  - Discrete mathematics & theoretical computer science
PY  - 2014
VL  - DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2390/
DO  - 10.46298/dmtcs.2390
LA  - en
ID  - DMTCS_2014_special_265_a15
ER  - 
%0 Journal Article
%A Aval, Jean-Christophe
%A Féray, Valentin
%A Novelli, Jean-Christophe
%A Thibon, J.-Y.
%T Super quasi-symmetric functions via Young diagrams
%J Discrete mathematics & theoretical computer science
%D 2014
%V DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2390/
%R 10.46298/dmtcs.2390
%G en
%F DMTCS_2014_special_265_a15
Aval, Jean-Christophe; Féray, Valentin; Novelli, Jean-Christophe; Thibon, J.-Y. Super quasi-symmetric functions via Young diagrams. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi : 10.46298/dmtcs.2390. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2390/

Cité par Sources :