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Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras

Paola Cellini·Victor G. Kac·Pierluigi Moseneder Frajria·Paolo Papi
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Abstract

We give uniform formulas for the branching rules of level 1 modules over orthogonal affine Lie algebras for all conformal pairs associated to symmetric spaces. We also provide a combinatorial intepretation of these formulas in terms of certain abelian subalgebras of simple Lie algebras.

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Paola Cellini, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi. 2006-01-23. Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras. https://arxiv.org/abs/math-ph/0506043

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