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Bosonic formulas for affine branching functions

Research paper by E. B. Feigin

Indexed on: 01 Jan '08Published on: 01 Jan '08Published in: Functional Analysis and Its Applications



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 \(\mathfrak{g}\).