Geodesic
Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials
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 obtain a nonrecursive combinatorial formula for the Kazhdan-Lusztig polynomials which holds in complete generality and which is simpler and more explicit than any existing one, and which cannot be linearly simplified. Our proof uses a new basis of the peak subalgebra of the algebra of quasisymmetric functions. 
@article{DMTCS_2014_special_265_a48,
     author = {Brenti, Francesco and Caselli, Fabrizio},
     title = {Peak algebras, paths in the {Bruhat} graph and {Kazhdan-Lusztig} polynomials},
     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.2423},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2423/}
}
TY  - JOUR
AU  - Brenti, Francesco
AU  - Caselli, Fabrizio
TI  - Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials
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.2423/
DO  - 10.46298/dmtcs.2423
LA  - en
ID  - DMTCS_2014_special_265_a48
ER  - 
%0 Journal Article
%A Brenti, Francesco
%A Caselli, Fabrizio
%T Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials
%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.2423/
%R 10.46298/dmtcs.2423
%G en
%F DMTCS_2014_special_265_a48
Brenti, Francesco; Caselli, Fabrizio. Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials. 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.2423. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2423/

Cité par Sources :