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

Paola Cellini, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi

• 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 interpretation of these formulas in terms of certain abelian subalgebras of simple Lie algebras.