Geodesic
A cluster algebra approach to $q$-characters of Kirillov–Reshetikhin modules
Journal of the European Mathematical Society, Tome 18 (2016) no. 5, pp. 1113-1159

Voir la notice de l'article provenant de la source EMS Press

We describe a cluster algebra algorithm for calculating q-characters of Kirillov–Reshetikhin modules for any untwisted quantum affine algebra Uq​(g​). This yields a geometric q-character formula for tensor products of Kirillov–Reshetikhin modules. When g is of type A,D,E, this formula extends Nakajima's formula for q-characters of standard modules in terms of homology of graded quiver varieties.
DOI : 10.4171/jems/609
Classification : 17-XX, 13-XX
Keywords: Quantum affine algebra, cluster algebras, q-characters, Kirillov–Reshetikhin modules, geometric character formula 
@article{JEMS_2016_18_5_a3,
     author = {David Hernandez and Bernard Leclerc},
     title = {A cluster algebra approach to $q$-characters of {Kirillov{\textendash}Reshetikhin} modules},
     journal = {Journal of the European Mathematical Society},
     pages = {1113--1159},
     publisher = {mathdoc},
     volume = {18},
     number = {5},
     year = {2016},
     doi = {10.4171/jems/609},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/609/}
}
TY  - JOUR
AU  - David Hernandez
AU  - Bernard Leclerc
TI  - A cluster algebra approach to $q$-characters of Kirillov–Reshetikhin modules
JO  - Journal of the European Mathematical Society
PY  - 2016
SP  - 1113
EP  - 1159
VL  - 18
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/609/
DO  - 10.4171/jems/609
ID  - JEMS_2016_18_5_a3
ER  - 
%0 Journal Article
%A David Hernandez
%A Bernard Leclerc
%T A cluster algebra approach to $q$-characters of Kirillov–Reshetikhin modules
%J Journal of the European Mathematical Society
%D 2016
%P 1113-1159
%V 18
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/609/
%R 10.4171/jems/609
%F JEMS_2016_18_5_a3
David Hernandez; Bernard Leclerc. A cluster algebra approach to $q$-characters of Kirillov–Reshetikhin modules. Journal of the European Mathematical Society, Tome 18 (2016) no. 5, pp. 1113-1159. doi: 10.4171/jems/609

Cité par Sources :