Geodesic
Combinatorial formulas for double parabolic R-polynomials
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010).

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

The well-known R-polynomials in ℤ[q], which appear in Hecke algebra computations, are closely related to certain modified R-polynomials in ℕ[q] whose coefficients have simple combinatorial interpretations. We generalize this second family of polynomials, providing combinatorial interpretations for expressions arising in a much broader class of computations. In particular, we extend results of Brenti, Deodhar, and Dyer to new settings which include parabolic Hecke algebra modules and the quantum polynomial ring. 
@article{DMTCS_2010_special_259_a20,
     author = {Lambright, Justin and Skandera, Mark},
     title = {Combinatorial formulas for double parabolic {R-polynomials}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)},
     year = {2010},
     doi = {10.46298/dmtcs.2825},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2825/}
}
TY  - JOUR
AU  - Lambright, Justin
AU  - Skandera, Mark
TI  - Combinatorial formulas for double parabolic R-polynomials
JO  - Discrete mathematics & theoretical computer science
PY  - 2010
VL  - DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2825/
DO  - 10.46298/dmtcs.2825
LA  - en
ID  - DMTCS_2010_special_259_a20
ER  - 
%0 Journal Article
%A Lambright, Justin
%A Skandera, Mark
%T Combinatorial formulas for double parabolic R-polynomials
%J Discrete mathematics & theoretical computer science
%D 2010
%V DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2825/
%R 10.46298/dmtcs.2825
%G en
%F DMTCS_2010_special_259_a20
Lambright, Justin; Skandera, Mark. Combinatorial formulas for double parabolic R-polynomials. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010). doi : 10.46298/dmtcs.2825. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2825/

Cité par Sources :