Geodesic
Bosonic Formulas for Affine Branching Functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 63-77

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In this paper, we derive two bosonic (alternating sign) formulas for branching functions of affine Kac–Moody Lie algebras $\mathfrak{g}$. Both formulas are expressed in terms of the Weyl group and string functions of $\mathfrak{g}$.
Keywords: Kac–Moody algebra, branching function, BGG-resolution. 
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     author = {E. B. Feigin},
     title = {Bosonic {Formulas} for {Affine} {Branching} {Functions}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {63--77},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a5/}
}
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E. B. Feigin. Bosonic Formulas for Affine Branching Functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 63-77. http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a5/