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Automorphism groups and derivation algebras of finitely generated vertex operator algebras

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arxiv math/0106051 v1 pith:WE2AFZ7J submitted 2001-06-07 math.QA

Automorphism groups and derivation algebras of finitely generated vertex operator algebras

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keywords algebraautomorphismgroupalgebrasderivationderivationsfinitelygenerated
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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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