Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171146We 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.Latex, 56 pages, revised version: minor corrections, Subsection 6.2 added. To appear in Advances in MathematicsMathematical PhysicsRepresentation TheoryDecomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebrastext