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Automorphism groups and derivation algebras of finitely generated vertex operator algebras

C. Dong·R. L. Griess Jr
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Abstract

We investigate the general structure of the automorphism group and the Lie algebra of derivations of a finitely generated vertex operator algebra. The automorphism group is isomorphic to an algebraic group. Under natural assumptions, the derivation algebra has an invariant bilinear form and the ideal of inner derivations is nonsingular.

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C. Dong, R. L. Griess Jr. 2001-06-07. Automorphism groups and derivation algebras of finitely generated vertex operator algebras. https://arxiv.org/abs/math/0106051

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