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Topic: List of Lie group topics


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  Lie group
In mathematics, a Lie group (pronounced "lee", named after Sophus Lie) is an analytic real or complex manifold that is also a group such that the group operations multiplication and inversion are analytic maps.
Lie groups are important in mathematical analysis, physics and geometry because they serve to describe the symmetry of analytical structures.
If we require that the Lie group be simply connected, then the global structure is determined by its Lie algebra: for every finite dimensional Lie algebra g over F there is a unique (up to isomorphism) simply connected Lie group G with g as Lie algebra.
www.brainyencyclopedia.com /encyclopedia/l/li/lie_group.html   (1421 words)

  
 ipedia.com: Lie group Article   (Site not responding. Last check: 2007-11-06)
In mathematics, a Lie group is an analytic real or complex manifold that is also a group such that the group operations multiplication and inversion are analytic maps.
List of some real Lie groups and their Lie algebras
List of some complex Lie groups and their Lie algebras
www.ipedia.com /lie_group.html   (1429 words)

  
 List of Lie group topics -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-06)
List of Lie group topics -- Facts, Info, and Encyclopedia article
See (Click link for more info and facts about Table of Lie groups) Table of Lie groups for a list
See also: (Click link for more info and facts about List of harmonic analysis and representation theory topics) List of harmonic analysis and representation theory topics
www.absoluteastronomy.com /encyclopedia/l/li/list_of_lie_group_topics.htm   (1328 words)

  
 Encyclopedia: List of Lie group topics   (Site not responding. Last check: 2007-11-06)
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List of mathematical topics (lists) at opensource encyclopedia
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