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Frenkel, I.B., Lepowsky, J. and Meurman, A. (1988) Vertex Operator Algebras and the Monster. Pure and Applied Mathematics Vol. 134. Academic Press, New York.

has been cited by the following article:

• TITLE: Integral Basis of Affine Vertex Algebra Vk (sl2) and Virasoro Vertex Algebra Vvir (2k,0)

  AUTHORS: Ashuai Wang

  KEYWORDS: Vertex algebra, Integral Basis, Virasoro Algebra, Affine Algebra

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.4, April 3, 2020

  ABSTRACT: In this paper, we consider an integral basis for affine vertex algebra Vk (sl2) when the level k is integral by a direct calculation, then use the similar way to analyze an integral basis for Virasoro vertex algebra Vvir (2k,0). Finally, we take the combination of affine algebras and Virasoro Lie algebras into consideration. By analogy with the construction of Lie algebras over Z using Chevalley bases, we utilize the Z-basis of Lav whose structure constants are integral to find an integral basis for the universal enveloping algebra of it.