Singular deformations of Lie algebras on an example
q-alg
2008-02-03 v1 Quantum Algebra
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.
Cite
@article{arxiv.q-alg/9706027,
title = {Singular deformations of Lie algebras on an example},
author = {Alice Fialowski and Dmitry Fuchs},
journal= {arXiv preprint arXiv:q-alg/9706027},
year = {2008}
}
Comments
18 pages, 1 figure To be published in Advances in the Mathematical Sciences, 1997 (to be published by the Amer. Amer. Soc.)