Journal of Lie Theory

no. 1
Infinite Fusion Products and sl2 Cosets
Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 145-161
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.
DOI: 10.5802/jolt.441
Classification: 17B67, 81R10
Keywords: Cosets, branching functions, Kostka polynomials 
@article{JOLT_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},
     doi = {10.5802/jolt.441},
     zbl = {1121.17016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.441/}
}
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E. Feigin. Infinite Fusion Products and sl2 Cosets. Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 145-161. doi: 10.5802/jolt.441

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