Abelian Lie algebra: Difference between revisions
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==Relation with other properties== | ==Relation with other properties== | ||
===Weaker properties== | ===Weaker properties=== | ||
* [[Nilpotent Lie algebra]] | * [[Nilpotent Lie algebra]] | ||
* [[Solvable Lie algebra]] | * [[Solvable Lie algebra]] | ||
Revision as of 11:41, 9 June 2007
This article defines a property for a Lie algebra
This article defines the analogue in Lie algebra of the following group property: [[Abelian group]][[Category:Analogues in other algebraic structures of Abelian group]]
Definition
A Lie algebra is said to be Abelian if the Lie bracket of any two elements in it is zero.