Singular deformations of Lie algebras on an example

(2) University of California Davis; Alice Fialowski (1); Budapest; Dmitry Fuchs (2) ((1) Eotvos University; Hungary; USA)

arxiv: q-alg/9706027 · v1 · submitted 1997-06-20 · q-alg · math.QA

Singular deformations of Lie algebras on an example

Alice Fialowski (1) , Dmitry Fuchs (2) ((1) Eotvos University , Budapest , Hungary , (2) University of California Davis , USA) This is my paper

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keywords singularalgebradeformationalgebrascomplexdeformationsexamplefields

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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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Singular deformations of Lie algebras on an example

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