English

Automorphism groups and derivation algebras of finitely generated vertex operator algebras

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0106051,
  title  = {Automorphism groups and derivation algebras of finitely generated vertex operator algebras},
  author = {C. Dong and R. L. Griess},
  journal= {arXiv preprint arXiv:math/0106051},
  year   = {2007}
}

Comments

latex 17 pages, to appear in Michigan Math. J