JAMP  Vol.8 No.4 , April 2020
Integral Basis of Affine Vertex Algebra Vk (sl2) and Virasoro Vertex Algebra Vvir (2k,0)
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.
Cite this paper: Wang, A. (2020) Integral Basis of Affine Vertex Algebra Vk (sl2) and Virasoro Vertex Algebra Vvir (2k,0). Journal of Applied Mathematics and Physics, 8, 652-659. doi: 10.4236/jamp.2020.84050.

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