Singular deformations of Lie algebras on an example

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

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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