Singular deformations of Lie algebras on an example

Abstract

The notion of singular one-parameter deformation of a Lie algebra is introduced. It is shown that the complex infinite-dimensional Lie algebra of polynomial vector fields in C with trivial 1-jet at the origin has such singular deformation.

18 pages, 1 figure To be published in Advances in the Mathematical Sciences, 1997 (to be published by the Amer. Amer. Soc.)