Intertwining operators among modules for affine Lie algebra and lattice vertex operator algebras which respect integral forms

• Robert McRae ^[1]
  1. [1] Peking University

     Peking University

     China

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 10 (October 2015), 2015, págs. 4757-4781
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.03.005
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• Resumen

  • We define an integral intertwining operator among modules for a vertex operator algebra to be an intertwining operator which respects integral forms in the modules, and we show that an intertwining operator is integral if it is integral when restricted to generators of the integral forms in the modules. We apply this result to classify integral intertwining operators which respect certain natural integral forms in modules for affine Lie algebra and lattice vertex operator algebras.