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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 1, Pages 63–77
DOI: https://doi.org/10.4213/faa2891 (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
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DOI: https://doi.org/10.4213/faa2891
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.
Received: 15.05.2006
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 1, Pages 53–64
DOI: https://doi.org/10.1007/s10688-008-0006-6
Bibliographic databases:
Document Type: Article
UDC: 517.986.5
Language: Russian
Citation: E. B. Feigin, “Bosonic Formulas for Affine Branching Functions”, Funktsional. Anal. i Prilozhen., 42:1 (2008), 63–77; Funct. Anal. Appl., 42:1 (2008), 53–64
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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