A family of Lie algebras not extendible to a family of Lie groups-Reference-Cited by-同舟云学术

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

Published:1977 Issue:2 Volume:66 Page:365-366
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Coppersmith Don

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-066-02/S0002-9939-1977-0457622-9/S0002-9939-1977-0457622-9.pdf

Reference3 articles.

1. Espaces fibrés en algèbres de Lie et en groupes;Douady, Adrien;Invent. Math.,1966

2. D. Coppersmith, Deformations of Lie groups and Lie algebras, Ph. D. Dissertation, Harvard Univ., 1977 (unpublished).

3. Cohomology of Lie groups;Hochschild, G.;Illinois J. Math.,1962

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On completely semisimple Lie algebra bundles;Journal of Algebra and Its Applications;2014-10-19

2. Weak Lie symmetry and extended Lie algebra;Journal of Mathematical Physics;2013-04

3. Lie groups;Journal of Soviet Mathematics;1985-03

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