Geodesic
Polynomiality of factorizations in reflection groups
Canadian journal of mathematics, Tome 75 (2023) no. 1, pp. 245-266

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

DOI

We study the number of ways of factoring elements in the complex reflection groups$G(r,s,n)$ as products of reflections. We prove a result that compares factorization numbers in$G(r,s,n)$ to those in the symmetric group$S_n$, and we use this comparison, along with the Ekedahl, Lando, Shapiro, and Vainshtein (ELSV) formula, to deduce a polynomial structure for factorizations in$G(r,s,n)$.
DOI : 10.4153/S0008414X21000663
Mots-clés : Reflection groups, factorizations, ELSV formula, polynomiality 
Polak, Elzbieta; Ross, Dustin. Polynomiality of factorizations in reflection groups. Canadian journal of mathematics, Tome 75 (2023) no. 1, pp. 245-266. doi: 10.4153/S0008414X21000663
@article{10_4153_S0008414X21000663,
     author = {Polak, Elzbieta and Ross, Dustin},
     title = {Polynomiality of factorizations in reflection groups},
     journal = {Canadian journal of mathematics},
     pages = {245--266},
     year = {2023},
     volume = {75},
     number = {1},
     doi = {10.4153/S0008414X21000663},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000663/}
}
TY  - JOUR
AU  - Polak, Elzbieta
AU  - Ross, Dustin
TI  - Polynomiality of factorizations in reflection groups
JO  - Canadian journal of mathematics
PY  - 2023
SP  - 245
EP  - 266
VL  - 75
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000663/
DO  - 10.4153/S0008414X21000663
ID  - 10_4153_S0008414X21000663
ER  - 
%0 Journal Article
%A Polak, Elzbieta
%A Ross, Dustin
%T Polynomiality of factorizations in reflection groups
%J Canadian journal of mathematics
%D 2023
%P 245-266
%V 75
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000663/
%R 10.4153/S0008414X21000663
%F 10_4153_S0008414X21000663

Cité par Sources :