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TitleOn integral forms for vertex algebras associated with affine Lie algebras and lattices
Author(s) Robert McRae
TypeArticle in Journal
AbstractAbstract We revisit the construction of integral forms for vertex (operator) algebras V L based on even lattices L using generators instead of bases, and we construct integral forms for V L -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.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404914001595
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume219
Number4
Pages1236 - 1257
Year2015
Edition0
Translation No
Refereed No
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