Proceedings of the American Mathematical Society
Paper

A family of lie algebras not extendible to a family of lie groups

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Abstract

We produce an analytic family of finite-dimensional Lie algebras, parameterized by a smooth Hausdorff manifold, which does not correspond to the Lie algebra of any Hausdorff (separable) family of Lie groups. This answers a question of Douady and Lazard. © 1977 American Mathematical Society.

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