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Singular deformations of Lie algebras on an example

Alice Fialowski, Dmitry Fuchs

q-algarXiv:q-alg/9706027

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.

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