Geodesic
Noncommutative symmetric functions with matrix parameters
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) (2012).

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

We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then give back the two-vector families of Hivert, Lascoux, and Thibon and the noncommutative Macdonald functions of Bergeron and Zabrocki. 
@article{DMTCS_2012_special_263_a45,
     author = {Lascoux, Alain and Novelli, Jean-Christophe and Thibon, Jean-Yves},
     title = {Noncommutative symmetric functions with matrix parameters},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)},
     year = {2012},
     doi = {10.46298/dmtcs.3059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3059/}
}
TY  - JOUR
AU  - Lascoux, Alain
AU  - Novelli, Jean-Christophe
AU  - Thibon, Jean-Yves
TI  - Noncommutative symmetric functions with matrix parameters
JO  - Discrete mathematics & theoretical computer science
PY  - 2012
VL  - DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3059/
DO  - 10.46298/dmtcs.3059
LA  - en
ID  - DMTCS_2012_special_263_a45
ER  - 
%0 Journal Article
%A Lascoux, Alain
%A Novelli, Jean-Christophe
%A Thibon, Jean-Yves
%T Noncommutative symmetric functions with matrix parameters
%J Discrete mathematics & theoretical computer science
%D 2012
%V DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3059/
%R 10.46298/dmtcs.3059
%G en
%F DMTCS_2012_special_263_a45
Lascoux, Alain; Novelli, Jean-Christophe; Thibon, Jean-Yves. Noncommutative symmetric functions with matrix parameters. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) (2012). doi : 10.46298/dmtcs.3059. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3059/

Cité par Sources :