Geodesic
Infinite Fusion Products and sl2 Cosets
Evgeny Feigin1
1Independent University, Bolshoy Vlasievsky 11, 119002 Moscow, Russia
Journal of Lie Theory, Tome 17 (2007) no. 1, pp. 145-161

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Evgeny Feigin  1

1 Independent University, Bolshoy Vlasievsky 11, 119002 Moscow, Russia 
Evgeny Feigin. Infinite Fusion Products and sl2 Cosets. Journal of Lie Theory, Tome 17 (2007) no. 1, pp. 145-161. http://geodesic.mathdoc.fr/item/JOLT_2007_17_1_a8/
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     author = {Evgeny 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/JOLT_2007_17_1_a8/}
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