Geodesic
Schur-positivity via products of grid classes
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020) Cet article a éte moissonné depuis la source Episciences

Voir la notice de l'article

Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur- positive is a long-standing problem in algebraic combinatorics. In this paper we present a general method to construct Schur-positive sets and multisets, based on geometric grid classes and the product operation. Our approach produces many new instances of Schur-positive sets, and provides a broad framework that explains the existence of known such sets that until now were sporadic cases. 
@article{DMTCS_2020_special_379_a55,
     author = {Elizalde, Sergi and Roichman, Yuval},
     title = {Schur-positivity via products of grid classes},
     journal = {Discrete mathematics & theoretical computer science},
     year = {2020},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     doi = {10.46298/dmtcs.6373},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6373/}
}
TY  - JOUR
AU  - Elizalde, Sergi
AU  - Roichman, Yuval
TI  - Schur-positivity via products of grid classes
JO  - Discrete mathematics & theoretical computer science
PY  - 2020
VL  - DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6373/
DO  - 10.46298/dmtcs.6373
LA  - en
ID  - DMTCS_2020_special_379_a55
ER  - 
%0 Journal Article
%A Elizalde, Sergi
%A Roichman, Yuval
%T Schur-positivity via products of grid classes
%J Discrete mathematics & theoretical computer science
%D 2020
%V DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6373/
%R 10.46298/dmtcs.6373
%G en
%F DMTCS_2020_special_379_a55
Elizalde, Sergi; Roichman, Yuval. Schur-positivity via products of grid classes. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi: 10.46298/dmtcs.6373

Cité par Sources :