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

• Autores: Paola Cellini, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 207, Nº 1, 2006, págs. 156-204
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.01.007
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• Resumen

  • 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.