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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2008 Volume 42, Issue 1, Pages 63–77 (Mi faa2891)
Bosonic Formulas for Affine Branching Functions

E. B. Feiginab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Independent University of Moscow

Abstract: 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.

UDC: 517.986.5

Received: 15.05.2006

DOI: 10.4213/faa2891


 English version: Functional Analysis and Its Applications, 2008, 42:1, 53–64

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© Steklov Math. Inst. of RAS, 2025