Geodesic
Infinite Fusion Products and sl2 Cosets
Journal of Lie theory, Tome 17 (2007) no. 1, pp. 145-161 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We study an approximation of tensor product of irreducible integrable $\widehat{{\frak{sl}}_2}$ representations by infinite fusion products. This gives an approximation of the corresponding coset theories. As an application we represent characters of spaces of these theories as limits of certain restricted Kostka polynomials. This leads to the bosonic (which is known) and fermionic (which is new) formulas for the $\widehat{{\frak{sl}}_2}$ branching functions.
Classification : 17B67, 81R10
Mots-clés : Cosets, branching functions, Kostka polynomials 
@article{JLT_2007_17_1_JLT_2007_17_1_a8,
     author = {E. Feigin },
     title = {Infinite {Fusion} {Products} and sl\protect\textsubscript{2} {Cosets}},
     journal = {Journal of Lie theory},
     pages = {145--161},
     year = {2007},
     volume = {17},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a8/}
}
TY  - JOUR
AU  - E. Feigin 
TI  - Infinite Fusion Products and sl2 Cosets
JO  - Journal of Lie theory
PY  - 2007
SP  - 145
EP  - 161
VL  - 17
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a8/
ID  - JLT_2007_17_1_JLT_2007_17_1_a8
ER  - 
%0 Journal Article
%A E. Feigin 
%T Infinite Fusion Products and sl2 Cosets
%J Journal of Lie theory
%D 2007
%P 145-161
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a8/
%F JLT_2007_17_1_JLT_2007_17_1_a8
E. Feigin . Infinite Fusion Products and sl2 Cosets. Journal of Lie theory, Tome 17 (2007) no. 1, pp. 145-161. http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a8/