Geodesic
Infinite Fusion Products and sl2 Cosets
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 
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     author = {E. Feigin },
     title = {Infinite {Fusion} {Products} and sl\protect\textsubscript{2} {Cosets}},
     journal = {Journal of Lie theory},
     pages = {145--161},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a8/}
}
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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/