Pavel Kolesnikov
Sobolev Istitute of Mathematics, Novosibirsk, Russia
On the Ado Theorem for conformal algebras.
Abstract: Conformal algebras were introduced by V. Kac as an algebraic formalism describing properties of the singular part of operator product expansions in conformal field theory (i.e., a Lie conformal algebra is a singular part of a vertex operator algebra). We prove that a finite torsion-free conformal Lie algebra with a Levi decomposition has a finite faithful conformal representation.