Geodesic
Pieri rules for Schur functions in superspace
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015).

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

The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace. We present the elementary properties of the bases $s_\Lambda$ and $\overline{s}_\Lambda$ (which happen to be essentially dual) such as Pieri rules, dualities, monomial expansions, tableaux generating functions, and Cauchy identities. 
@article{DMTCS_2015_special_285_a41,
     author = {Jones, Miles Eli and Lapointe, Luc},
     title = {Pieri rules for {Schur} functions in superspace},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)},
     year = {2015},
     doi = {10.46298/dmtcs.2497},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2497/}
}
TY  - JOUR
AU  - Jones, Miles Eli
AU  - Lapointe, Luc
TI  - Pieri rules for Schur functions in superspace
JO  - Discrete mathematics & theoretical computer science
PY  - 2015
VL  - DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2497/
DO  - 10.46298/dmtcs.2497
LA  - en
ID  - DMTCS_2015_special_285_a41
ER  - 
%0 Journal Article
%A Jones, Miles Eli
%A Lapointe, Luc
%T Pieri rules for Schur functions in superspace
%J Discrete mathematics & theoretical computer science
%D 2015
%V DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2497/
%R 10.46298/dmtcs.2497
%G en
%F DMTCS_2015_special_285_a41
Jones, Miles Eli; Lapointe, Luc. Pieri rules for Schur functions in superspace. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015). doi : 10.46298/dmtcs.2497. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2497/

Cité par Sources :