Bosonic formulas for affine branching functions

E. B. Feigin

doi:10.1007/s10688-008-0006-6

Bosonic formulas for affine branching functions

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we derive two bosonic (alternating sign) formulas for branching functions of affine Kac-Moody Lie algebras g . Both formulas are expressed in terms of the Weyl group and string functions of g.

Original language	English
Pages (from-to)	53-64
Number of pages	12
Journal	Functional Analysis and its Applications
Volume	42
Issue number	1
DOIs	https://doi.org/10.1007/s10688-008-0006-6
State	Published - Jan 2008
Externally published	Yes

Keywords

BGG-resolution
Branching function
Kac-Moody algebra

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10.1007/s10688-008-0006-6

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abstract = "In this paper, we derive two bosonic (alternating sign) formulas for branching functions of affine Kac-Moody Lie algebras g . Both formulas are expressed in terms of the Weyl group and string functions of g.",

keywords = "BGG-resolution, Branching function, Kac-Moody algebra",

author = "Feigin, {E. B.}",

note = "Funding Information: ∗Supported in part by RFBR grant no. 06-01-00037 and Leading Scientific Schools grant no. 4401.2006.2. ∗In our paper, we only consider untwisted affine algebras. Thus, in what follows by an affine algebra we mean its untwisted version.",

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Bosonic formulas for affine branching functions

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