On integral forms for vertex algebras associated with affine Lie algebras and lattices

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

     Rutgers University

     City of New Brunswick, Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 1236-1257
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.06.003
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• Resumen

  • We revisit the construction of integral forms for vertex (operator) algebras VL based on even lattices L using generators instead of bases, and we construct integral forms for VL-modules. We construct integral forms for vertex (operator) algebras based on highest-weight modules for affine Lie algebras and we exhibit natural generating sets. For vertex operator algebras in general, we give conditions showing when an integral form contains the standard conformal vector generating the Virasoro algebra. Finally, we study integral forms in contragredients of modules for vertex algebras.