Automorphism groups and derivation algebras of finitely generated vertex operator algebras

Details Automorphism groups and derivation algebras of finitely generated vertex operator algebras Automorphism groups and derivation algebras of finitely generated vertex operator algebras

2001-06-07

arxiv.org/abs/math/0106051v1

Mathematics

Quantum Algebra

latex 17 pages, to appear in Michigan Math. J

Scientific paper

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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